Step-by-step explanation:
find the gradient first
[tex] = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 7 - ( - 10)}{ - 7 - 4} \\ = \frac{3}{ - 11} [/tex]
then use the form y=mx+c
the gradient is represented as m
y and x you can choose one of the points given
[tex]y = mx + c \\ - 10 = - \frac{3}{11} (4) + c \\ c = - \frac{98}{11} [/tex]
so the equation is
[tex]y = - \frac{3}{11} x - \frac{98}{11} [/tex]
