SOLUTION: Write an equation in slope-intercept form for the line through the two points (1,-2) and (3,10)

Algebra ->  Graphs -> SOLUTION: Write an equation in slope-intercept form for the line through the two points (1,-2) and (3,10)      Log On


   

Question 668712: Write an equation in slope-intercept form for the line through the two points (1,-2) and (3,10)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
First, find slope
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slope = %28y2-y1%29%2F%28x2-x1%29+=+%2810--2%29%2F%283-1%29+=+12%2F2+=+6
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Use one of the coordinates and the determined slope to solve for y-intercept, b.
-2 = 6(1) + b
b = -2 - 6 = -8
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The linear equation is
highlight%28y+=+6x+-+8%29
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Confirm using the other coordinates
10 = 6(3) + b
b = 10 - 18 = -8
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graph%28300%2C200%2C-10%2C10%2C-15%2C5%2C6x-8%29
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