Blaine was asked to write a linear equation in slope-intercept form and was given that (3,2) and (1,-6) were on the line. blaine thought he did the problem correctly, however his teacher said he made a mistake. his work is

y = mx + b
step 1: find slope

m = y2 - y1x2 - x1 = 3 - 12 - (-6) = 28 =14

step 2: find y-intercept
m = 14(1,-6)
y = mx + b
-6 = 14(1) + b
-6 = 14+ b
-6.25 = b

step 3: write equation using slope and y-intercept
m = 14and b =-6.25
y = mx + b
y = 14x - 6.25 (final equation)

in 2-3 paragraphs…
1) find and explain blaine’s mistake
2) what would his new slope and y-intercept be and explain how to calculate each one
3)tell me the correct equation in slope-intercept form that blaine should’ve came up with.
be detailed in your writing and explanations.