SOLUTION: What is the slope-intercept form of the equations of the line through the given point with the given slope:
(-3,-1), slope=2
(-2,2), slope= - 7/2
Question 456052: What is the slope-intercept form of the equations of the line through the given point with the given slope:
(-3,-1), slope=2
(-2,2), slope= - 7/2 Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! The slope-intercept form is: y = mx +b
m = 2 is given
So, an infinite number of lines are possible.
But the line you want goes through the point (-3,-1).
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Slope = change in y ("rise") divided by the change in x ("run").
So, a slope of 2 means for every change of 1 in x, there is a change of 2 in y.
This means the line goes up steeply from left to right.
x = -3 +1 = -2
y = -1 +2 = +1
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x = -3 +3 = 0
y = -1 +6 = 5
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y = 2x + 5
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You can check the graph:
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Or you can test the values you were given:
y = 2x + 5
2(-3) +5 = -6 +6 = -1
That's (-3,-1).
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Do the second problem the same way.
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