Question

a line with a slope of -2 passes through the point (4, 3). 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. $y - \square = \square(x - \square)$

Explanation:

Step1: Recall point - slope formula

The point - slope form of a linear equation is $y - y_1=m(x - x_1)$, 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 $m=- 2$ and the point $(x_1,y_1)=(4,3)$.

Step3: Substitute values into the formula

Substitute $m = - 2$, $x_1=4$ and $y_1 = 3$ into the point - slope formula $y - y_1=m(x - x_1)$. We get $y - 3=-2(x - 4)$.

Answer:

$y - 3=-2(x - 4)$ (So in the blanks: the first blank is 3, the second blank is - 2, the third blank is 4)