Question

Write and equation of the line that passes through the pair of points (4,6) and (-1,1)

Answer 1

The answer is y=x+2 . The slope is m=1. And the y intercept is b=2

Answer 2

y = x + 2

Explanation:

Step 1: Find the slope

`m=(y2-y1)/(x2-x1) = (6-1)/(4-(-1))=(6)/(6) =1`

Step 2: Substitute the slope and a point in to find y intercept

(6)=(1)(4)+b

6 = 4 + b

b = 2

Step 3: Substitute all the information in

y = x + 2

Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2