Question

the slope of the line below is -3. which of the following is the point-slope form of the line? A.) y+2=3(x-2) B.) y+2=-3(x-2) C.) y-2=-3(x+2) D.) y-2=3(x+2)

Answer 1

The "point-slope" form of the equation of a straight line is:

$y-y_1=m(x-x_1)\\\\(x_1;\ y_1)\ is\ a\ known\ point\\\\m\ is\ the\ slope\ of\ the\ line$

We have:

$m=-3;\ (x_1;\ y_1)=(2;-2)$

Substitute

$y-(-2)=-3(x-2)\\\\y+2=-3(x-2)$

Answer: B. y + 2 = -3(x - 2)