Question

question 4 of 10
what is a point - slope equation of the line with slope - 13 that goes through the point (5, 7)?
a. $y - 7=-13(x - 5)$
b. $y + 7=-13(x + 5)$
c. $y - 5=-13(x - 7)$
d. $y + 5=-13(x + 7)$

Explanation:

Step1: Recall point - slope formula

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

Step2: Identify values of $m$, $x_1$ and $y_1$

We are given that the slope $m=- 13$ and the point on the line is $(x_1,y_1)=(5,7)$. So, $x_1 = 5$ and $y_1=7$.

Step3: Substitute values into the formula

Substitute $m=-13$, $x_1 = 5$ and $y_1 = 7$ into the point - slope formula $y - y_1=m(x - x_1)$. We get $y-7=-13(x - 5)$.

Answer:

A. $y - 7=-13(x - 5)$