Write the equation 5x + 4y = 10 so that y is a function of x.

Show your work.

A. y = 5/4x + 2.5

B. y = 1.2x - 5/2

C. y = - 5/4 - 5/2

D. y = - 5/4x + 5/2

5x + 4y = 10

- 5x - 5x

4y = - 5x + 10

4 4

y = - 1¹/₄x + 2¹/₂

The answer is D.

The general equation of the slope intercept form is y = mx + b. The first step is to subtract the whole equation by 5x. This leaves 4y on the left side. Then, divide the whole equation by 4, which results to option D. y = - 5/4x + 5/2