What is the equation of the line between (3,-2) and (-5,1)?

1 Answer
Nov 19, 2015

A line equation is of the form y=ax+b. By substituting in the values from the two points, the equations can be solved by substitution to get the values of a and b

Explanation:

-2 = a*3 + b
Therefore b = -2 -a*3
1 = a*-5 +b
Therefore b = 1 + a*5
-2 - 3*a = 1 + 5*a
8*a = -3
a = -3/8
b = -2 - (-3/8)*3
b = -2 +9/8
b = -7/8
y = (-3/8)*x + (-7/8)
8*y = -3*x - 7