Question

how do i put -6x+2y=4 in slope intercept form

Answer 1

The slope-intercept form is

$y=mx+b$

Then we should isolate y on the left side and put x with the numerical term on the right side

The given equation is

$-6x+2y=4$

We want to move -6x to the right side, so add 6x to both sides

$\begin{gathered} -6x+6x+2y=4+6x \\ 2y=4+6x \end{gathered}$

Now, we want the coefficient of y equal to 1, then divide both sides by 2

$\begin{gathered} \frac{2y}{2}=\frac{4}{2}+\frac{6x}{2} \\ y=2+3x \\ y=3x+2 \end{gathered}$

The equation in the slope-intercept form is

y = 3x + 2