Question

m = 4, (-3, -4)

Explanation:

Step1: Recall point - slope formula

The point - slope form of a linear equation is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope of the line.
Here, $m = 4$, $x_1=-3$ and $y_1 = - 4$.

Step2: Substitute values into the formula

Substitute $m = 4$, $x_1=-3$ and $y_1=-4$ into the point - slope formula:
$y-(-4)=4(x - (-3))$

Step3: Simplify the equation

Simplify the left - hand side and the right - hand side:
$y + 4=4(x + 3)$
Expand the right - hand side: $y+4 = 4x+12$
Subtract 4 from both sides: $y=4x + 8$

Answer:

If we want to find the equation of the line with slope $m = 4$ passing through the point $(-3,-4)$, the equation is $y = 4x+8$ (or in point - slope form $y + 4=4(x + 3)$)