Question

3.) Find the x- and y-intercept of the line.

x + 4y = 36

a.) x-intercept is 9; y-intercept is 36.

b.) x-intercept is 4 ; y-intercept is 1.

c.) x-intercept is 1; y-intercept is 4.

d.) x-intercept is 36; y-intercept is 9.

Answer 1

Option D

x-intercept is 36 and y-intercept is 9

Solution:

Given equation is:

x + 4y = 36

To find: x and y intercept

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

Finding x - intercept

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'

Substitute y = 0 in given equation

x + 4(0) = 36

x + 0 = 36

x = 36

Finding y - intercept

To find the y-intercept, plug 0 in for 'x' and solve for y

Substitute x = 0 in given equation

0 + 4y = 36

4y = 36

y = 9

Thus x-intercept is 36 and y-intercept is 9