Question 1014825
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Rate of change=R
{{{R=abs(slope)}}} (Absolute value of slope)
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A. 14x-2y=8
14x=2y+8
14x-8=2y
7x-4=y
Slope(A)=7
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B. y=6x-5
Slope(B)=6
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C. {{{matrix (4,2,x,y,-2,-7,-1,-2,0,3)}}}
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{{{P[1]}}}=({{{x[1]}}},{{{y[1]}}})=(-2,-7)
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{{{P[2]}}}=({{{x[2]}}},{{{y[2]}}})=(-1,-2)
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{{{Slope=(y[2]-y[1])/(x[2]-x[1])}}}={{{(-2-(-7))/(-1-(-2))=5}}}
Slope(C)=5
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D. A linear function through (1,3) and (0,-2)
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{{{P[1]}}}=(1,3)
{{{P[2]}}}=(0,2)
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{{{Slope=(2-3)/(0-1)}}}={{{-1/-1=1}}}
Slope(D)=1
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ANSWER: The equation with greatest rate of change (slope) is (A)
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