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

Question

asked Mar 4, 2019 135k views

2 Answers

Graviton · Answer 1 · 2019-03-06T13:58:01+0000

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)