SOLUTION: What is the equation in slope-intercept form of the line passes through the points (-5, 47) and (2, -16)?

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Question 1171096: What is the equation in slope-intercept form of the line passes through the points (-5, 47) and (2, -16)?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the equation in slope-intercept form of the line passes through the points (-5, 47) and (2, -16)?
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An equation, not the equation.
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Find the slope, m
m = diffy/diffx
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Then use y - y1 = m*(x - x1) where (x1,y1) is either point.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the equation in slope-intercept form of the line is
y=mx%2Bb where m is a slope and b is y-intercept
line passes through the points (-5,+47) and (2, -16), so use them to find a slope
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-16-47%29%2F%282-%28-5%29%29
m=-63%2F%282%2B5%29
m=-63%2F7
m=-9

so far the equation is
y=-9x%2Bb ...........use point (2, -16) to calculate b

-16=-9%2A2%2Bb
-16=-18%2Bb
-16%2B18=b
b=2
and your equation is:
y=-9x%2B2