Find the equation of the line that is parallel to the given line and passes through the given point.

Question

y=0.2x-3;(-5,4)

The equation is y=

Answer 1

Hi Jake

y = 0.2x + 5

You want the line that passes through (-5, 4) and is parallel to

y = 0.2x - 3

Parallel lines have the same slope

y = 0.2x -3 is in Slope Intercept Form

y = mx + b

The slope m, is 0.2

So your parallel line will have slope m, 0.2 as well

You can use the Slope Intercept Form and the coordinates of the given point (-5, 4) to find the parallel line.

Your parallel in Slope Intercept Form starts with

y = 0.2x + b

Next you plug in the coordinates given (-5, 4) to solve for b

4 = 0.2(-5) + b

4 = -1 + b

Solve for b

4 + 1 = b

5 = b

Now just plug this back into the Slope Intercept Form for your parallel line

y = 0.2x + 5

You can graph your lines at Desmos.com to see that they are parallel and that one of them passes through (-5, 4).

I hope this helps