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.

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  • 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

    (35 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)

      Intercepts of lines review (x-intercepts and y-intercepts) (article) | Khan Academy (5)

      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)

      (27 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 (12)

      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)

  • lg10

    7 months agoPosted 7 months ago. Direct link to lg10's post “help me... this is so har...”

    help me... this is so hard.

    (10 votes)

  • LOLyue

    a year agoPosted a year 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

      a year agoPosted a year 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 (18)

      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)

  • Payton

    9 months agoPosted 9 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?

    (8 votes)

    • wagner/wally

      9 months agoPosted 9 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)

  • samiha0624

    5 months agoPosted 5 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

      5 months agoPosted 5 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

    7 months agoPosted 7 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

      7 months agoPosted 7 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 (33)

      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

How do you find the x and y-intercepts of the line with the equation? ›

To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y.

What is the X-intercept and y-intercept Khan Academy? ›

y-intercepts are when the line touches the y-axis. To find these, find the y when x = 0. x-intercepts are when the line touches the x-axis. To find these, find the x when y = 0.

How do you interpret X-intercepts and y-intercepts? ›

The x-intercept is the point where the graph of a line intersects the x-axis. The y-intercept is the point where the graph of a line intersects the y-axis. These points have the form (x,0) and (0,y), respectively.

How do you answer X-intercepts? ›

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

How to solve x-intercept and y-intercept? ›

To find the x-intercept, substitute y = 0 and solve for x. To find the y-intercept, substitute x =0 and solve for y.

How to find the y-intercept formula? ›

The equation of the line in the slope-intercept form is, y=mx+b. By the definition of the slope-intercept form itself, b is the y-intercept of the line. You try by substituting x=0 in y=mx+b and see whether you get b as the y-intercept.

What is the formula for interception? ›

The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept.

What is X-intercept in math simple? ›

The x-intercept is the point at which the graph of an equation crosses the x-axis. For a point to cross the x-axis it must have a y value of 0. As a result, an x-intercept can always be represented by (x, 0).

How to find the intercept of a graph? ›

If the given equation is of the form y = mx + b then we can easily find the value of x by putting the value of y=0 in any equation. The value of x so obtained is the x-intercept of the curve.

What is an example of the y-intercept? ›

Y-Intercept on a Graph

The point where the graph crosses the y-axis is the y-intercept. Example: The line intersects the y-axis at (0, 3). Thus, the y-intercept is (0, 3) or 3.

How to find x in an equation? ›

To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

How are x-intercepts and y-intercepts alike? ›

When a line crosses the x-axis, the y value is 0. That's the x-intercept. When a line crosses the y-axis, the x value is 0. That's the y-intercept.

How to find y-intercept without graph? ›

The standard form of a quadratic equation is written as y=ax2+bx+c, where x and y are variables and a, b, and c are known constants. To find the y-intercept from a quadratic equation, substitute 0 as the value for x and solve. The y-intercept is always equal to the value of c in the equation.

How to find the y-intercept from two 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.

What is the x and y intercept calculator? ›

X and Y Intercept calculator is a free online tool that gives the intercepts for the given straight line equation. BYJU'S online x and y-intercept calculator tool makes the calculations faster and easier where it displays the x and y-intercepts in a fraction of seconds.

What is the formula for X intercept of a line? ›

How do you find the X Intercept in y = mx + b? Here, y = mx + b is the slope-intercept form that can be used to identify the x and y-intercepts. The x-intercept is found by setting y = 0. On substituting the value of y =0, it gives the x-intercept value at which the line crosses the x-axis.

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.

References

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