what is the intercepts. 4x+8y=32

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the equation:

4x + 8y = 22

Solve for the intercepts.

Solution:

X-intercept

To solve for the x-intercept, we equate the value of y with 0.

4x + 8(0) = 22

4x = 22

Divide both sides by 4 in order to determine the value of x.

4x/4 =22/4

x-intercept = 11 / 2

Y-intercept

In order to solve for the y-intercept, we must equate x to 0 then solve for y.

4(0) + 8y = 22

8y = 22

Divide both sides by 8 to determine the value of y.

8y/8 = 22/8

y-intercept = 11 / 4

Final answer:

x-intercept = 11 / 2

y-intercept = 11 / 4