SOLUTION: graph the line containing the given pair of points and find the slope. (-4,2), (1,-3)

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Question 225082: graph the line containing the given pair of points and find the slope. (-4,2), (1,-3)
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
graph the line containing the given pair of points and find the slope. (-4,2), (1,-3)

Using the slope formula, or %28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29, we can determine the slope, or m

m = %28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29, with y%5B2%5D = - 3, y%5B1%5D = 2, x%5B2%5D = 1, and x%5B1%5D = - 4.

slope, or m = %28-+3+-+2%29%2F%281+-+-+4%29 = %28-+5%29%2F5 = highlight_green%28-1%29

With a slope, or m of -+1, and one of its points, (1, - 3), we can use the point-slope formula, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 to find the equation to graph the line.

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 -------> y+-+-+3+=+m%28x+-+1%29 ------> y+%2B+3+=+-+1%28x+-+1%29 ------> y+%2B+3+=+-+x+%2B+1 ------> y+=+-+x+-+2. The graph of this linear equation is shown below.

+graph%28+300%2C+200%2C+-6%2C+5%2C+-6%2C+6%2C+-x-2%29+

You could also easily plot the 2 points, (- 4, 2) and (1, - 3) and join the points to get the linear graph. These 2 points can also be seen on the above graph, along with a y-intercept of - 2.

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