Question

Solve for y: -2x-7y=4 Write your answer in slope-intercept form.

Answer 1

ANSWER

$y\text{ = -}\frac{2}{7}x\text{ - }\frac{4}{7}$

EXPLANATION

We are given the function:

-2x - 7y = 4

Writing this in slope-intercept form (or solving for y) simply means that we want to write it in the form:

y = mx + c

where m = slope

c = y intercept

Therefore, we have:

$\begin{gathered} -2x\text{ - 7y = 4} \\ -7y\text{ = 2x + 4} \\ \text{Divide through by -7:} \\ y\text{ = -}\frac{2}{7}x\text{ - }\frac{4}{7} \end{gathered}$

That is the function in slope intercept form.