Answer:
[tex]y = \frac{1}{3}x - 1[/tex]
Step-by-step explanation:
Let the gradient be calculated as follows:
slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]\frac{-7-(-3)}{6-(-6)}\\ = -\frac{1}{3}[/tex]
to find the equation passing through the point we calculate as follows:
[tex]- 3= \frac{1}{3} (-6) + b\\ -1 = b[/tex]
Therefore, the equation of the line is:
[tex]y = \frac{1}{3}x - 1[/tex]
