Question

Find the equation and write in slope-intercept form

Answer 1

So, let's first find the slope of the second question:

$2y=x+3 \implies\\ y=\frac{x}{2}+\frac{3}{2}$

Our second equation has a slope of one half, so we know that a line perpendicular to it will have the negative reciprocal slope of that, so -2. We have this now as our equation:

$y=-2x+b$

We are given the point (3,-6), so let's plug the x and y in and find our b:

$-6=-2(3)+b \implies\\ -6=-6+b \implies\\ 0=b$

Since our b is 0, our equation is simply:

$y=-2x$