Question

Which equation models the line that passes through points (2, 5) and (3, 1)?

Answer 1

Answer: y = -4x + 13

Explanation:

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

First Step find the slope given the two points:

Use the slope formula
`m=(y2 - y1)/(x2 - x1)`

`m = (1-5)/(3-2) = -4` (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