The equation for line g can be written as y =10/9 x −6 . line h, which is parallel to line g, includes the point (4, 5) .what is the equation of line h ?

To be parallel, the line has to have the same slope as the other. In this case, this slope is 10/9.

We can write this equation in slope-intercept form:

y = 10/9x + b

Now, let's input our coordinate point and solve for b.

5 = 10/9(4) + b
Multiply everything out.
5 = 40/9 + b
Subtract 40/9 from both sides.
5/9 = b

The equation of line h is:

y = 10/9x + 5/9

Slope formula:
m  = y2 - y1 / x2 - x1

Line QR: (2,8) (3,10)
m = 10 - 8 / 3 - 2 = 2 / 1 = 2

Line ST: (0,6) (-2,2)
m = 2 - 6 / -2 - 0 = -4/-2 = 2

c. parallel because the slopes are the same