Question

a line passes through the points (8, 4) and (10, 2). what is its equation in point - slope form? use one of the specified points in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions.

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(8,4)$ and $(x_2,y_2)=(10,2)$. Then $m=\frac{2 - 4}{10 - 8}=\frac{-2}{2}=-1$.

Step2: Write the point - slope form

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(8,4)$ and $m=-1$, we get $y - 4=-1(x - 8)$.

Answer:

$y - 4=-1(x - 8)$