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