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(-3,9) and (0,7)

find slope line for given point

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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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Hi Maurice;
slope=(y2-y1)/(x2-x1)
slope=(7-9)/(0--3)
slope=-2/3
 
Let's go further and establish the equation of y=mx+b...
y=(-2/3)x+b
9=(-2/3)(-3)+b
9=2+b
Let's subtract 2 from both sides...
-2+9=2+b-2
7=b
 
Let's verify the results of b using the other coordinates...
(In fact, because the other coordinate includes x=0, this is the y-intercept--the point at which the line crosses the y-axis.)
y=(-2/3)x+b
7=(-2/3)(0)+b
7=b
 
The equation of y=mx+b is...
y=(-2/3)x+7