Question

Which equation in slope intercept for represents a line that is parallel to y = 1/2 -2 and passes through the point (8-1)?

Answer 1

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

If a line is parallel, it has the same slope. So this has a slope of 1/2. Then, you can plug in values for x and y to solve for b:

Y=mx+b
-1=(1/2)(8)+b
-1=4+b
b=-5

So the full equation is y=(1/2)x-5.