Question

Identify the equation in point slope form for the line parallel to y=1/2x-7 that passes through (-3,-2)

Answer 1

The answer to the question

Answer 2

Parallel lines have the same slope.

We have $y=\dfrac{1}{2}x-7$.

Therefore we have $y=\dfrac{1}{2}x+b$

We must find b. We know, the line passes through (-3, -2).

Substitute the values of point to the equation of the new function:

$-2=\dfrac{1}{2}(-3)+b\\\\-2=-1.5+b\qquad|\text{add 1.5 to both sides}\\\\-0.5=b\to b=-0.5\to b=-\dfrac{1}{2}$

Answer: $y=\dfrac{1}{2}x-\dfrac{1}{2}$