Question

The graph of a line has a slope of -3 and passes through the point (-6,-4).

Answer 1

Answer:

(A) y+4=-3(x+6)

Step-by-step explanation:

The point-slope form of the equation of a line whose slope is m and passes through the point $(x_1, y_1)$ is: $y-y_1=m(x-x_1)$

Given the point: $(x_1, y_1)=(-6,-4)$

Slope, m=-3

$x_1=-6\\y_1=-4$

Substituting these values into:  $y-y_1=m(x-x_1)$, we obtain the point slope form of the equation:

$y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)$

The correct option is A.