Find an equation for the line through (4,7) with the given relationship to y=2x-4: a) parallel & b) perpendicular

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Find an equation for the line through (4,7) with the given relationship to y=2x-4: a) parallel & b) perpendicular

Mathematics
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for part a) parallel we use the same slope from the function y=2x-4 slope is 2 so y=mx+b use the given point (4,7) where x=4, y= 7 and m=2
for part b) perpendicular we let m1*m2=-1 and we know m1=2 (slope) so 2m2=-1 m2=-1/2 now we use given point (4,7) where x=4 , y=7 and slope (m)=-1/2 we sub the values into y=mx+b

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