the slope - intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. what…

the slope - intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. what is the point - slope form of the equation for this line?\no y - 13 = 5(x - 2)\no y + 13 = 5(x + 2)\no y - 2 = 5(x - 13)\no y + 2 = 5(x + 13)

the slope - intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. what is the point - slope form of the equation for this line?\no y - 13 = 5(x - 2)\no y + 13 = 5(x + 2)\no y - 2 = 5(x - 13)\no y + 2 = 5(x + 13)

Answer

Explanation:

Step1: Recall 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.

Step2: Identify values

Given the point $(-2,-13)$ and slope $m = 5$ from $y=5x - 3$. Here $x_1=-2$ and $y_1=-13$.

Step3: Substitute values

Substitute into the point - slope form: $y-(-13)=5(x - (-2))$, which simplifies to $y + 13=5(x + 2)$.

Answer:

B. $y + 13 = 5(x + 2)$