Question

Choose the correct slope of the line that passes through the points (−6, −6) and (−3, 1).

Answer 1

find the gradient of the line the formula

the formula for the gradient is

\[m = \frac{(y _{2} - y _{1})}{(x _{2} -x _{1})}\]

m = (-6 -1)/(-6 +3)

\[m = \frac{-7}{-3} =========> m = \frac{7}{3}\]

next the equation of the line in point slope form is

y = mx + b

or

\[y = \frac{7x}{3} + b\]

choice either point say ( -3, 1) substitute into the equation above and find b

then you'll have the equation of the line