# Find the x-intercept and y-intercept

by Julee
(USA)

##### Question
Find the x- and y- intercepts of the line using these coordinates, (–2, –5) and (6, 1).
STEP 1:    Before getting started, it will be helpful if you could recollect the basic definition of the intercepts. By the x-intercepts, we mean the x-coordinate of a point where a graph crosses the x-axis. Similarly, y-intercept refers to the y-coordinate of a point where a graph crosses the y-axis.

To find the intercepts, we either need the graph or the equation defining the graph. Since we are given only two coordinate points, you will need to frame the equation using these points and then find the intercepts.

STEP 2:    You can use the slope-intercept form to find the equation of the line. By the slope-intercept form, we refer to an equation of the form:
y = mx + b

Make a note of what each variable in the equation stands for: Since the value of m is unknown, the first step is to calculate the slope of the line.

STEP 3:   If (x1, y1) and (x2, y2) are two coordinate points through which a line passes, then the slope of the line defined by these points is: Choose (x1, y1) = (–2, –5) and (x2, y2) = (6, 1). By substituting the value obtained in the slope-intercept form, you get the equation: STEP 4:    The value of b is still unknown. Since the line is said to pass through (–2, –5) and (6, 1), select either of the points and substitute the respective values for x and y. We shall select the point (6, 1). STEP 5:    Now, solve the equation for b. With the values obtained for m and b, the equation of the line takes the form: STEP 6:    Now, you can easily find the intercepts. By referring to the definition, we understand that the y-intercept is some coordinate point like (0, y), and the
x-intercept is (x, 0).

Since the x-coordinate is 0 for y-intercept, substitute the 0 for x in the equation. Similarly, find the x-intercept by replacing y with 0. You finally get the x-intercept as (14/3,0),and the y-intercept as (0,-7/2).

### Comments for Find the x-intercept and y-intercept

Average Rating   Oct 20, 2022 Rating     what NEW by: Anonymous what

 Feb 08, 2022 Rating fuck you NEW by: fuck you KILL YOURSLEF

 Feb 26, 2021 Rating   yay NEW by: Blue Orangeade The layout of this lesson was kind of hard to read, but overall I guess it was good. Homework help hehe

 Jan 15, 2021 Rating     Awesome NEW by: Anonymous This thing right here really has helped me do my homewok Thats why its getting five stars

 Dec 11, 2020 Rating Dumb NEW by: Anonymous This really just asked me to pay 99 to learn the lesson, what a scam.

 Nov 14, 2019 Rating     Find by: Anonymous Find the y-intercept of the following: x: 1, 2, 3, 4, 5 y: 2, 4, 5, 5, 7

 Nov 05, 2019 Rating   Good formula math done wrong by: Anonymous you should have got a negative y-intercept AND a NEGATIVE x-intercept.

 May 10, 2019 Rating Bruh by: Anonymous Yeah so it was wrong, thanks for your help =)