what is the equation of a slope of -2 with the point -3,1

Answer 1

Use the slope point formula

slope = m = -2

The slope is the rise over the run or (y-1)/x--3). The difference of any 2 y values divided by the corresponding 2 x values = the slope

(y-1)/(x+3)=-2

simplify

y-1 = -2((x+3) = -2x -6

add one to both sides

This gives the equation

y= -2x-5 Coefficient of x is the slope = -2. constant term is the y-intercept: -5

check the answer, plug the point x=-3 y=1 into the equation y=-2x-5

1=-2(-3)-5 = 6-5 = 1