SOLUTION: what is the equation in slope intercept form of the line that passes through the points (-4,2) and (12,6)

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Question 1153837: what is the equation in slope intercept form of the line that passes through the points (-4,2) and (12,6)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the equation in slope intercept form of the line:
y=mx%2Bb where m is a slope and b is y-intercept
if the line passes through the points (-4,2) and (12,6), use them to find a slope
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%286-2%29%2F%2812-%28-4%29%29
m=4%2F%2812%2B4%29
m=4%2F16
m=1%2F4

so far, we have
y=%281%2F4%29x%2Bb ..............use one point to calculate b
6=%281%2F4%2912%2Bb
6=3%2Bb
b=6-3
b=3
and, your equation is:y=%281%2F4%29x%2B3