To create an equation, you have to find the slope of the line
m = [tex] \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} } [/tex]
Where m is your slope and:
(4,5) => [tex] (x_{1}, y_{1}) [/tex]
(-3,-1) => [tex] (x_{2} , y_{2} )[/tex]
So, plug the numbers into the equation
[tex] m = \frac{-1-5}{-3-4} = \frac{-6}{-7} = \frac{6}{7} [/tex]
The slope of this equation is 6/7
Point slope form of a line is:
[tex]y - y_{1} = m(x - x_{1} )[/tex]
(-3,-1) => [tex] (x_{2} , y_{2} )[/tex] and m = 6/7
y + 1 = 6/7 (x + 3)
