Help with pre calculus?

Question

Find the value of h if the line joining (7,h) and (2,-5) is parallel to the line y=7x-5.

Answer 1

Two parallel lines have the same slope

The slope of y = 7x -5 is 7.

Solve for m:

m = (y2 - y1)/(x2-x1) = 7

=(-5 - h) / (2 - 7) = 7

=-5-h/-5 = 7

=5-h/5 = 7

5-h = 35

-h = 30

h = -30

Answer 2

You need to have the same slope = 7 for the lines to be parallel.

So since your x rises 5 points.

h = 5 * 7 - 5 = 30

So Point (7,30)

Answer 3

First of all..the line is parallel so that means the slope would stay the same.

Then use the slope equation

y2 - y1 = m (x2 - x1)

-5 - h = 7 (2 - 7)

-h = -35 + 5

h = 30

Hope this helps :)

Answer 4

Seeing as the line is parallel, it would have the same slope as the equation given, which is 7.

Now, using the slope formula, knowing the slope is 7:

(-5 - h) / (2 - 7) = 7

Cross multiply:

7(2 - 7) = -5 - h

-35 = -5 - h

-30 = h

h = 30