Question

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

Answer 1

D = 25

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