Answer:
[tex] y - 35 = 6(x - 5) [/tex]
Step-by-step explanation:
The point-slope equation of a line is
[tex] y - y_1 = m(x - x_1) [/tex] ,
where
[tex] m = slope = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
and the point is
[tex] (x_1, y_1) [/tex]
Let's find the slope.
[tex] m = slope = \dfrac{-31 - 35}{-6 - 5} [/tex]
[tex] m = \dfrac{-66}{-11} [/tex]
[tex] m = 6 [/tex]
We are asked to use the first point in the equation, so
[tex] x_1 = 5 [/tex] and [tex] y_1 = 35 [/tex]
The equation is:
[tex] y - 35 = 6(x - 5) [/tex]
