
Fred H. answered 01/21/16
Tutor
5
(20)
Retired ivy league engineer math and english tutor
The slope intercept line equation is written as
y = mx + b
where m is the slope and b is the y-intercept
Parallel lines will have the same slope so we know that the equation of the parallel line is:
y= (2/3)x + b
Because the line passes through x = 6 and y = -5, we can plug those values into the equation to get b.
-5 = (2/3)(6) + b
b = -5 - 4 = -9
Therefore, the equation of the parallel line is
y = (2/3)(x) - 9