Question 784972: Using the formula y= mx+b find the equation of the line determined by the two points (-3,2) and (-2, 8)
I do not have a good description of how to do this problem. I need to see how they are worked out so I can solve them. Thank you so much.
Answer by reviewermath(1029)   (Show Source):
You can put this solution on YOUR website! Q: Using the formula y= mx+b find the equation of the line determined by the two points (-3,2) and (-2, 8).
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A:
If ( ,  ) and ( ,  ) are points on the line, then the slope of the line is m =  .
The slope of the line containing (-3,2) and (-2, 8) is
m =  = 6.
The equation of the line is y = 6x + b, where b is the y-intercept.
To solve for the value of b, choose any point on the line.
If we choose (-3, 2), then substitute x = -3, y = 2, and solve for b.
y = 6x + b
2 = 6(-3) + b
b = 2 + 18 = 20
Therefore, the equation of the line is  .
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