Write an equation of the line that passes through point P and is parallel to the line with the given equation p(-1,3) y=4x-2

Answer 1

Hi Haley D.

The line given is in the Slope Intercept Form

y = mx + b

y = 4x - 2

Parallel Lines have the same slope

m = 4 for the parallel and we have

y = 4x + b

Since it passes through point p(-1,3) we can use these coordinates to solve for b

3 = -4 + b

Solve for b

7 = b

Finally the parallel line is

y = 4x + 7

You can graph your lines at Desmos.com to see that the are parallel and pass through the given point.

Answer 2

The slope of the line you are looking for is the same as the given linear equation because they are parallel.

m=4

y = mx + b

y = 4x + b

if x = -1, then y = 3:

3 = 4(-1) + b

3 = -4 + b

3 + 4 = b

b =7

Therefore the the linear equation is:

y = 4x + 7