Respuesta :

Answer: y = -4x + 13

Step-by-step explanation:

Given points (2, 5) and (3, 1)

First Step find the slope given the two points:

Use the slope formula [tex]m=\frac{y2 - y1}{x2 - x1}[/tex]

[tex]m = \frac{1-5}{3-2} = -4[/tex] (Result)

Slope is equal to -4

Second step plug into y - y1 = m(x - x1) formula (Point Slope Formula)

For this I am using the first coordinate pair given (2, 5)

y - 5 = -4(x-2)

y - 5 = -4x + 8

y = -4x + 13