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

    (38 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)

      (29 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

    (29 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.

      (14 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.

    (12 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)

  • 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)

  • Equihua, Robert

    8 months agoPosted 8 months ago. Direct link to Equihua, Robert's post “this doesnt make sense at...”

    this doesnt make sense at all I hate this bro

    (8 votes)

    • Kim Seidel

      8 months agoPosted 8 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)

  • 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 (26)

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

      (10 votes)

  • samiha0624

    6 months agoPosted 6 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

      6 months agoPosted 6 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)

  • 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]

      (10 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 find the x and y-intercepts in 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 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 is an intercept in math? ›

The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept. The meaning of intercept of a line is the point at which it intersects either the x-axis or y-axis.

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

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 find the y-intercept formula? ›

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 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.

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 average rate of change? ›

What is average rate of change? It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

What is the real world meaning of slope? ›

In mathematics, the measure of the steepness of a line is called the slope of the line. The concept of slope has many applications in the real world. In construction, the pitch of a roof, the slant of the plumbing pipes, and the steepness of the stairs are all applications of slope.

What is a zero slope in geometry? ›

The slope is zero when a line doesn't have any vertical rise. This will be a straight horizontal line. It will remain the same from left to right.

What does y mean in math? ›

While a variable can be anything you can think of, in math, it is usually letters. The letter y is commonly used as a variable in math. It is probably one of the first variables you will come across. It is usually used when referring to equations that you graph. It also is used to refer to functions.

What does the intercept tell you? ›

The intercept is the difference between the mean of the response variable and the product of the slope and the mean of the explanatory variable. The slope of the regression line depends on the correlation between the two variables, among other factors.

Does intercept mean slope? ›

The slope represents the change in y for any 1 unit change in x. The intercept, also known as the y-intercept, is where the line of best fit intersects the y-axis. It represents the initial condition or starting point of the data.

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(02) + b(0) + c = c. Thus, the y-intercept is (0, c). The x-intercept is given by y = 0: 0 = ax2 + bx + c. Thus, the x-intercept(s) can be found by factoring or by using the quadratic formula.

How to find x-intercept on a graph without an equation? ›

Using a Graph of a Line

It is important to look at the x-axis when locating the x-intercept. Find the point where the line crosses the x-axis. The x-intercept is this point. If you are asked to find the x-intercept based on the graph, the point will likely be exact (for example, at point 4).

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