Find an equation of the line containing the given pair of points.

Question

(-3, -2), and (-8,-5)
The equation of the line in slope-intercept form is y= what

Answer 1

Well, there are several ways but you want y = m x + b
so
-2 = m (-3) + b
b = (3 m-2) use (3m-2) for b in the other point
-5 = m (-8) + b
-5 = -8 m + 3 m - 2
5 m = 3
m = 3/5
then b = 3 (3/5) - 2
b = 9/5 - 10/5 = -1/5
so
y = (3/5) x - 1/5
or
5 y = 3 x - 1