Question

find the point - slope equation for the line that passes through the points (2, 1) and (-2, 5). use the first point in your equation. y - ? = (x - )

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(2,1)$ and $(x_2,y_2)=(-2,5)$. Then $m=\frac{5 - 1}{-2 - 2}=\frac{4}{-4}=-1$.

Step2: Write the point - slope equation

The point - slope form is $y - y_1=m(x - x_1)$. Using $(x_1,y_1)=(2,1)$ and $m = - 1$, we get $y - 1=-1(x - 2)$.

Answer:

$y - 1=-1(x - 2)$