Algebra: A Combined Approach (4th Edition)

-$\frac{1}{2}$x = y
In this case your answer will be in the form y = mx+b. The first step is to find m or the slope of the line. You can do this by finding the change in the y value and x value between the two points then dividing them. The change in y is $(6-4)$ 2 and the change in x is $(-3-(-2))$ -1. Therefore the slope is $\frac{\Delta y}{\Delta x}$ or $-\frac{1}{2}.$ When you plug this into the equation y =mx+b along with the point (4, -2), you will get: $-2 = 4(-\frac{1}{2}) + b$. From this you can find that b = 0. So, $y = -\frac{1}{2}x$