Question

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

Answer 1

Parallel lines have the same slope.

We have
`y=(1)/(2)x-7`.

Therefore we have
`y=(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=(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=-(1)/(2)`

Answer:
`y=(1)/(2)x-(1)/(2)`

Answer 2

The answer to the question