Question

a line with a slope of - 9/2 passes through the point (2,3). what is the 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.
Given $m =-\frac{9}{2}$ and the point $(x_1,y_1)=(2,3)$.

Step2: Substitute values

Substitute $x_1 = 2$, $y_1=3$ and $m =-\frac{9}{2}$ into the point - slope form:
$y - 3=-\frac{9}{2}(x - 2)$

Answer:

$y - 3=-\frac{9}{2}(x - 2)$