Question

there is a line that includes the point (3, 5) and has a slope of 2. 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 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 $(3,5)$ and slope $m = 2$, so $x_1=3$, $y_1 = 5$ and $m=2$.

Step3: Substitute values

Substitute $x_1 = 3$, $y_1=5$ and $m = 2$ into the point - slope form: $y - 5=2(x - 3)$.

Answer:

$y - 5=2(x - 3)$