Find an equation for the second line.

Question

Consider the following two lines. The first passes through the points (2,-4) and (5,5). The second line passes through the point (2,1) and is parallel to the first line.

Answer 1

the first line has slope = m = (5--4)/5-2) = 9/3 = 3

any parallel line has the same slope = 3

use the point slope formula

y-1 = 3(x-2)

y = 3x -6 +1

y = 3x -5