Question

what is the equation of the line that passes through the points (−3, 2) and (−5, 8)? 3x − y = −11 3x y = − 7 3x y = 5 x 3y = 3

Answer 1

Gradient, m=$\frac{change in y}{change in x}$
m=$\frac{8-2}{-5--3}$
m=$\frac{6}{-2}$
m=-3
Equation;
y=mx+c
y=-3x+c
Using point (-3,2) to replace for x and y;
2=-3(-3)+c
2=9+c
c=-7
y=-3x-7