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Question 280645: determine the slope of the line
(0,2) (-1,0)
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! slope = rise/run
rise = change in y = y2 - y1
run = change in x = x2 - x1
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Now define your two points:
(x1, y1) = (0, 2)
(x2, y2) = (-1,0)
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rise = 0 -2 = -2
run = -1 -0 = -1
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slope = rise/run = -2 / -1 = 2
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You may notice that the two points given are the y-intercept and the x-intercept.
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You also can check your work by graphing.
Given y = mx+b,
we think the equation of the line going through (0,2) and (-1,0) ought to be:
y = 2x +2
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By visual inspection, we see that the line slopes up to the right, which must be the case if the slope is positive. So, that's one check.
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We also can inspect the graph to ensure it goes through a third point.
Say, x = 1
y = 2+2 = 4
Is the point (1,4) on the graph?
Yes.
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Answer:
The slope is 2.
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Done.
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