Question

(02.04 lc)
choose the equation that represents the line passing through the point (-3, -1) with a slope of 4. (1 point)

○ y = 4x - 11
○ y = 4x + 11
○ y = 4x + 7
○ y = 4x - 7

Explanation:

Step1: Use point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here, $x_1=-3$, $y_1 = - 1$ and $m = 4$. So $y-(-1)=4(x - (-3))$.

Step2: Simplify the equation

$y + 1=4(x + 3)$. Expand the right - hand side: $y+1 = 4x+12$. Then subtract 1 from both sides to get $y=4x + 11$.

Answer:

$y = 4x+11$