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