Question 668627
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)
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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
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-20/5 = (-21/5) + b
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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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