Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy (2024)

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.

Want to join the conversation?

Log in

  • Priscilla Smith

    a year agoPosted a year ago. Direct link to Priscilla Smith's post “Math can be fun sometimes...”

    Math can be fun sometimes if you do it right lol

    (29 votes)

    • sarra

      a year agoPosted a year ago. Direct link to sarra's post “it was sort of an obligat...”

      Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy (4)

      it was sort of an obligation for me to be here but by seeing the progress I made in only 9 days ( i used to know almost nothing about math) I'm now addicted to learning it and i can't stop it's really fun
      (my eyes are burning from the screen rn cuz i've been studying for hours straight)

      (20 votes)

  • leah kelly

    6 years agoPosted 6 years ago. Direct link to leah kelly's post “help me solve this proble...”

    help me solve this problem step by step 1/3x-2 find the x,y intercept

    (28 votes)

  • Juan Perez

    4 years agoPosted 4 years ago. Direct link to Juan Perez's post “How do i find the y and x...”

    How do i find the y and x intercepts of an equation in standard form??

    (15 votes)

    • Kim Seidel

      4 years agoPosted 4 years ago. Direct link to Kim Seidel's post “You can always find the X...”

      Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy (11)

      You can always find the X-intercept by setting Y to 0 in the equation and solve for X.

      Similarly, you can always find the Y-intercept by setting X to 0 in the equation and solve for Y.

      Hope this helps.

      (15 votes)

  • Payton

    8 months agoPosted 8 months ago. Direct link to Payton's post “this type of stuff is soo...”

    this type of stuff is soooo confusing and too me it give off little explaination when it be like "well we r gon' to zoom in" like child what in da world how do we "zoom in" or "zoom out"? i am i 8th grade but sometime when oing this math it makes me feel like a 9th grader in the 8th grade!! does anyone else agree?

    (9 votes)

    • wagner/wally

      8 months agoPosted 8 months ago. Direct link to wagner/wally's post “i mean, teachers do say 8...”

      i mean, teachers do say 8th grade is just a transition to 9th, or maybe thats just my school, who knows.

      (7 votes)

  • lg10

    6 months agoPosted 6 months ago. Direct link to lg10's post “help me... this is so har...”

    help me... this is so hard.

    (10 votes)

  • LOLyue

    10 months agoPosted 10 months ago. Direct link to LOLyue's post “if the question is y=5x+r...”

    if the question is y=5x+random number how to find x intercept?

    (6 votes)

    • Kim Seidel

      10 months agoPosted 10 months ago. Direct link to Kim Seidel's post “In all equations, you fin...”

      Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy (20)

      In all equations, you find the x-intercept by using y=0 in the equation and solving for x.

      (11 votes)

  • dessie

    4 years agoPosted 4 years ago. Direct link to dessie's post “how do i put a fraction i...”

    how do i put a fraction in

    (10 votes)

  • samiha0624

    4 months agoPosted 4 months ago. Direct link to samiha0624's post “is there any way to figur...”

    is there any way to figure out the x and y intercept from the table? the table thing is really confusing so i wonder if there is any equations for the table itself.

    (6 votes)

    • NeutronSt4r

      4 months agoPosted 4 months ago. Direct link to NeutronSt4r's post “There are separate formul...”

      There are separate formulas for calculating intercepts:

      y intercept: if the equation is y=mx+b, the y intercept is b
      x intercept: if the equation is y=mx+b, the x intercept is -b/m

      To figure out the x and y intercepts from a table, you can use the formula

      slope =(y₂ - y₁)/(x₂ - x₁)
      and figure out the equation first. Then you plug in the numbers from the table into the equation and use the formulas for the x and y intercepts to figure out what you need.

      (9 votes)

  • Equihua, Robert

    6 months agoPosted 6 months ago. Direct link to Equihua, Robert's post “this doesnt make sense at...”

    this doesnt make sense at all I hate this bro

    (7 votes)

    • Kim Seidel

      6 months agoPosted 6 months ago. Direct link to Kim Seidel's post “First, this is the review...”

      First, this is the review. Maybe you need to start at the beginning of the lesson to get a better understanding. Ask questions as you go. Do the practice problems to reinforce what you are learning. If you get something wrong, use the hints to find and understand your mistake so you learn how to avoid the error. Then, try the review lesson again.

      Here's a quick overview:

      The X-intercept is the point where the line crosses the x-axis. So, it must be a point on the x-axis. Any point that is on the x-axis will have a y-value of 0. So, you find the x-intercept by using y=0 in the equation and solve for X. You will then have a point (x-value, 0) that is the x-intercept.

      Similarly, the Y-intercept is the point where the line crosses the y-axis, so it must be a point that is on the y-axis. All points on the y-axis have an x-value of 0. Thus, to find the y-intercept, you use x=0 in the equation and solve for Y. You will then have a point (0, y-value) that is the y-intercept.

      Hope this helps.

      (7 votes)

  • Luke Olsen

    5 years agoPosted 5 years ago. Direct link to Luke Olsen's post “what is the x- intercept ...”

    what is the x- intercept in the equation y=8/-1x-22

    (5 votes)

    • naverdo

      4 years agoPosted 4 years ago. Direct link to naverdo's post “To find x-intercept, take...”

      Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy (32)

      To find x-intercept, take y=0
      0 = 8/-1x-22
      -x-22 = 8
      -x = -8 + 22
      -x = 14
      x = -14
      Therefore, x-intercept = (-14,0) [Assuming I got your question right]

      (11 votes)

Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy (2024)

FAQs

Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy? ›

So, you find the x-intercept by using y=0 in the equation and solve for X. You will then have a point (x-value, 0) that is the x-intercept. Similarly, the Y-intercept is the point where the line crosses the y-axis, so it must be a point that is on the y-axis. All points on the y-axis have an x-value of 0.

How do you find the intercepts of the x-intercept and y-intercept? ›

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x.

How do you interpret X intercepts and Y intercepts? ›

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.

What are the intercepts of a graph? ›

Intercepts of a Line

Each of the points at which a line crosses the x-axis and the y-axis is called an intercept of the line. Let's look at the graph of the lines shown below. Do you see a pattern? For each row, the y- coordinate of the point where the line crosses the x- axis is zero.

What is the intercept of an equation? ›

The point where the line or curve crosses the axis of the graph is called intercept.

How to find the intercept of a line? ›

You can always find the X-intercept by setting Y to 0 in the equation and solve for X. Similarly, you can always find the Y-intercept by setting X to 0 in the equation and solve for Y.

How to calculate the y-intercept? ›

Since the y-intercept always has a corresponding x-value of 0, replace x with 0 in the equation and solve for y. On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

How do you interpret the intercepts of a line? ›

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless. We will encounter examples of both types in this section.

How do the X and Y-intercepts relate to the equations of the function? ›

Intercepts are those points on a Cartesian coordinate system where the graph of an equation or function crosses the x- and y-axes. To find the x-intercept algebraically, simply set y to 0 and solve for x. Conversely, to find the y-intercept, set the value of x to 0 and solve for y.

What are the X and Y-intercepts and why are they significant? ›

The x-intercept is the y-value when x=0. Similarly, the y-intercept is the x-value when y=0. Both make it easier to sketch graphs of functions, particularly when the functions are linear. In that case, you can just mark these points on a graph and join them with a straight line to easily draw the graph.

What is an example of the y-intercept? ›

Here is an example of a y-intercept. Consider the line y = x+ 3. This graph meets the y-axis at the point (0,3). Thus (0,3) is the y-intercept of the line y = x+ 3.

What is the formula for the intercept method? ›

The intercept form of the equation of a line is x/a + y/b = 1. The intercept form of the equation of a line makes the x-intercept of 'a' units, and the y-intercept of 'b' units. Based on the sign of the intercepts we can find the quadrants through which the line passes through.

What is the y-intercept formula with two points? ›

Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b.

What is the equation of intercept formula? ›

The formula is SI = P × R × T / 100, where SI is the simple interest, P is the principal, R is the interest rate, and T is the time in years. To find the principal in simple interest, rearrange the formula: P = SI × 100 / (R × T).

How do you convert an equation to intercept form? ›

To change the equation into slope-intercept form, write it in the form y = m x + b .

How to find vertex from intercept form? ›

To find the vertex (h, k) of a parabola that is in intercept form y = a(x - p) (x - q): Use h = (p + q) / 2 for finding h. Substitute x = h in the equation of parabola to find k.

How to find the x and y intercepts of a quadratic equation? ›

Intercepts of a Quadratic Function

The y-intercept is given by x = 0: y = a(0 [ 2 ] ) + b(0) + c = c. Thus, the y-intercept is (0, c). The x-intercept is given by y = 0: 0 = ax [ 2 ] + bx + c.

How to find x and y intercepts from standard form? ›

If the equation is in standard form:ax+by=c then you just set x equal to 0 to find the y intercept and set y equal to 0 to find the x intercept.

How to find y-intercept with 2 points? ›

Use the slope and one of the points to solve for the y-intercept (b). One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

How to find the x and y intercepts of a rational function? ›

Answer: To find the x-intercept of a rational function, we substitute y = 0 in the function and find the corresponding value of x, and to find the y-intercept of a rational function, we substitute x = 0 in the function and find the corresponding value of y.

References

Top Articles
Latest Posts
Article information

Author: Gov. Deandrea McKenzie

Last Updated:

Views: 6188

Rating: 4.6 / 5 (46 voted)

Reviews: 85% of readers found this page helpful

Author information

Name: Gov. Deandrea McKenzie

Birthday: 2001-01-17

Address: Suite 769 2454 Marsha Coves, Debbieton, MS 95002

Phone: +813077629322

Job: Real-Estate Executive

Hobby: Archery, Metal detecting, Kitesurfing, Genealogy, Kitesurfing, Calligraphy, Roller skating

Introduction: My name is Gov. Deandrea McKenzie, I am a spotless, clean, glamorous, sparkling, adventurous, nice, brainy person who loves writing and wants to share my knowledge and understanding with you.