Answer:
y = x + 2
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1[/tex]
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
