Question 1021649
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{{{P[1]}}}=({{{x[1]}}},{{{y[1]}}})=({{{1}}},{{{19}}})
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{{{P[2]}}}=({{{x[2]}}},{{{y[2]}}})=({{{-1}}},{{{-3}}})
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Find the slope (m):
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{{{m=(y[2]-y[1])/(x[2]-x[1])}}}
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{{{m=(-3-19)/(-1-1)}}}={{{-22/-2=11}}}
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For the equation, use slope-intercept form (y=mx+b):
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m=11
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y=11x+b
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Use either of the points {{{P[1]}}} or {{{P[2]}}} to find b:
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Using {{{P[1]}}}, x=1 and y=19:
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y=11x+b
19=11(1)+b
19=11+b
8=b
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Using m=11 and b=8:
y=mx+b
y=11x+8
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ANSWER: The equation is: y=11x+8
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CHECK: (Using {{{P[2]}}})
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x=-1 and y=-3
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y=11x+8
-3=11(-1)+8
-3=-11+8
-3=-3
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