Question

What are the x- and y- intercepts for -x+2y=8

Answer 1

Answer:

The x-intercept is -8

The y-intercept is 4

Explanation:

1- The x-intercept:

The x-intercept of a function is the value of the x at y = 0

Therefore, to get the x-intercept, all we have to do is set y=0 in the given function and solve for x

This is done as follows:

-x + 2y = 8

-x + 2(0) = 8

x = -8 ....................> x-intercept = -8

2- The y-intercept:

The y-intercept of a function is the value of the y at x = 0

Therefore, to get the y-intercept, all we have to do is set x=0 in the given function and solve for y

This is done as follows:

-x + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2 = 4  ....................> y-intercept = 4

Note: The graphical solution is shown in the attached picture

Hope this helps :)