Question

What is the equation of the line that passes through the point (-5,4) and is parallel to the line whose equation is y=(4/5)x-4

Answer 1

Y=4/5x+8

Explanation:

Because it is parallel to the other line it will have the same slope but a new y intercept. So to set up point slope we can use that slope.

Point slope is set up like this:

y-y cord=slope(x-x cord)

You can use it to find the y intercept.

so just fill it in and solve.

y-4=4/5(x+5)

its x+5 instead of - because the 5 is negative. Point slope is always reverse. A positive number is subtracted and a negative is always added.

First you can simplify the 4/5 to 0.8 by solving the fraction (dividing top from bottom).

Then solve the point slope problem.

y-4=0.8(x+5)

0.8x5=4

y-4=4

+4 +4

y=8

So your y intercept is 8!

Then put it in y intercept form.

Y=slopex+y intercept.

Y=4/5x+8