Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a line with a slope of 7 passes through the point (8, 5). what is its e…

Question

a line with a slope of 7 passes through the point (8, 5). 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 $m$ is the slope and $(x_1,y_1)$ is a point on the line.

Step2: Identify values

Given $m = 7$, $x_1=8$ and $y_1 = 5$.

Step3: Substitute values

Substitute into the point - slope form: $y - 5=7(x - 8)$.

Answer:

$y - 5=7(x - 8)$