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

    (30 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

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.

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.

How do you find the intercepts of each line? ›

To find the x-intercept, set y=0 and solve for x. To find the y-intercept, set x=0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation. To graph a line, find the intercepts, if they exist, and draw a straight line through them.

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 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.

What does the y-intercept represent? ›

Slope and y-Intercept Values

The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

What is the intercept formula? ›

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.

How to calculate intercept and slope? ›

In an equation in slope-intercept form (y=mx+b) the slope is m and the y-intercept is b. We can also rewrite certain equations to look more like slope-intercept form. For example, y=x can be rewritten as y=1x+0, so its slope is 1 and its y-intercept is 0.

What does point slope look like? ›

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept.

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.

How many Y intercepts can a line have? ›

If the graph is the graph of a function then it has at most one y -intercept, since the graph of a function must pass the vertical line test and the y-axis is one such vertical line. The graph of a function can have any number of x -intercepts, including none and infinitely many.

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

To find the x-intercept, we make y equal to 0 and solve the equation for x. To find the y-intercept, we make x equal to 0 and solve for y.

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 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.

References

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