warethessa2397 warethessa2397
  • 12-05-2021
  • Mathematics
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If the line through (-2,4)and ) 5,D)is parallel to the graph of y= 3X +4 find the value of d

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abidemiokin
abidemiokin abidemiokin
  • 17-05-2021

Answer:

D = 25

Step-by-step explanation:

For 2 lines to be parallel, they must have the same sloe;

Given the coordinates (-2,4)and (5,D)

Slope = D-4/5-(-2)

Slope = D-4/5+2

Slope = D-4/7

Given the equation y = 3x + 4, comparing to y = mx+b

mx = 3x

m = 3

Hence the slope is 3

Equating the slopes

D-4/7 = 3

D-4 = 3*7

D-4 = 21

D = 21+4

D = 25

Hence the value of D is 25

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