select the correct answer. what is the equation of the line that has a slope of 3 and goes through the point…

Explanation:

Step1: Recall point - slope formula

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $m$ is the slope and $(x_1,y_1)$ is a point on the line. Given $m = 3$ and $(x_1,y_1)=(-3,-5)$.

Step2: Substitute values into formula

Substitute $m = 3$, $x_1=-3$ and $y_1=-5$ into $y - y_1=m(x - x_1)$. We get $y-(-5)=3(x - (-3))$.

Step3: Simplify the equation

$y + 5=3(x + 3)$. Expand the right - hand side: $y+5 = 3x+9$. Then subtract 5 from both sides: $y=3x + 4$.

Answer:

A. $y = 3x+4$