what is the equation of a line that is parallel to y=2x-1, that passes through the point(-3,1)?

Answer 1

Hi Santiago J

Parallel lines have the same slope

Your given line is in Slope Intercept Form y=mx+b, where m is the slope

y=2x-1

m=2

So your parallel line in Slope Intercept Form starts with

y = 2x + b

Use the coordinates of the given point (-3,1) to solve for b

1= 2(-3) + b

1 = -6 +b

1 + 6 = b

7 = b

Your parallel line is

y = 2x + 7

You can graph both lines on the same grid at desmos.com to confirm that they are parallel and your parallel passes through the point (-3,1)

I hope this helps

Answer 2

(y - 1) / 2(x + 3)