Question

Write an equation of the line that passes through a pair of points (5, -2) , (4,5)

Answer 1

y = -7x + 33

Explanation:

Use the Point Slope Form: (y - y1) = m(x - x1)

Step 1: Find the Slope

Slope =
`(y2 - y1)/(x2 - x1)`

Slope =
`(5 - (-2))/(4 - 5)`

Slope =
`(5 + 2)/(-1)`

Slope =
`(7)/(-1)`

Slope = -7

Step 2: Plug into the point slope form

(y - 5) = -7(x - 4)

y - 5 + 5 = -7x + 28 + 5

y = -7x + 33

Answer: y = -7x + 33