Question

Find the equation for the line that passes through the point (2,2), and that is parallel to the line with the equation y=3/4x-4

Answer 1

Answer: y=3/4x  + 1/2

Step-by-step explanation: Parallel lines must have the same slope, so you already know the equation must be something like y=3/4x+b. You are given a point that the line goes thru(2,2), so you can plug this point into the equation to solve for b.

(2)=3/4(2) + b

2=6/4 + b

2= 3/2 + b

b= 2-3/2

b=4/2- 3/2

b=1/2

so y=3/4x + 1/2