Question

there is a line that includes the point (6, 2) and has a slope of 7. what is its equation in point - slope form? use the specified point in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions.

Explanation:

Step1: Recall point - slope formula

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 of $x_1$, $y_1$ and $m$

Given the point $(6,2)$ and slope $m = 7$, so $x_1=6$, $y_1 = 2$ and $m=7$.

Step3: Substitute values into formula

Substitute $x_1 = 6$, $y_1=2$ and $m = 7$ into $y - y_1=m(x - x_1)$, we get $y - 2=7(x - 6)$.

Answer:

$y - 2=7(x - 6)$