SOLUTION: Write an equation in slope-intercept form of the line through points S(3,-4) and T(8,3) m=y1-y2/x1-x2=-4-3/3-8=-7/-5=7/5 y-(-4)=7/5(x-3) y+4=7/5(x+3) This is as far as I could

Algebra ->  Formulas -> SOLUTION: Write an equation in slope-intercept form of the line through points S(3,-4) and T(8,3) m=y1-y2/x1-x2=-4-3/3-8=-7/-5=7/5 y-(-4)=7/5(x-3) y+4=7/5(x+3) This is as far as I could       Log On


   

Question 668627: Write an equation in slope-intercept form of the line through points S(3,-4) and T(8,3)
m=y1-y2/x1-x2=-4-3/3-8=-7/-5=7/5
y-(-4)=7/5(x-3)
y+4=7/5(x+3)
This is as far as I could go. Please help
Found 2 solutions by ReadingBoosters, stanbon:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Slope %28Y2-Y1%29%2F%28X2-X1%29 = %283--4%29%2F%288-3%29+=+7%2F5
...
Using the determined slope and one of the coordinates,
-4 = %287%2F5%29%283%29 + b
b = -4 - 21%2F5
b = -20%2F5+-+21%2F5+=+-41%2F5
...
linear equation
highlight%28y+=+%287%2F5%29x+-+%2841%2F5%29%29
...
Confirm using the other coordinate
3 = %287%2F5%29%288%29 + b
b = 3 - 56%2F5
b = 15%2F5+-+56%2F5+=+-41%2F5
...
graph%28300%2C200%2C-10%2C10%2C-15%2C10%2C%287%2F5%29x+-+%2841%2F5%29%29
.....................
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-Reading Boosters
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation in slope-intercept form of the line through points S(3,-4) and T(8,3)
m=(-4-3)/(3-8) = (-7/-5) = (7/5)
y-(-4)=7/5(x-3)
y+4=7/5(x+3)
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y = (7/5)x + (21/5) - (20/5)
----
y = (7/5)x + (1/5)
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An easier way to find the equation:
m=(-4-3)/(3-8) = (-7/-5) = (7/5)
Form: y = mx + b
You are told y = -4 when x = 3, and m = (7/5)
Solve for "b":
-4 = (7/5)(-3) + b
----
-20/5 = (-21/5) + b
-----
b = 1/5
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Ans: y = (7/5)x + (1/5)
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Cheers,
Stan H.
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