How do you write the equation of the line that passes through the points P(8, -1), Q(0, -7)?

1 Answer
Apr 3, 2015

The answer is: y = 6/8x-7

First, we need to find the slope of the line. Slope can be found as:

m = (y_1 - y_2)/(x_1-x_2)

m = (-1-(-7))/(8-0) = 6/8

So our incomplete line equation is:

y = 6/8x+n

Lets plug one the points to the equation to find the value of n

I will plug P

-1 = 6/8*8 + n

-1 = 6+n

n=-7

So the line equation is:

y = 6/8x-7