Bcaastillo
Bcaastillo Bcaastillo
  • 04-06-2020
  • Mathematics
contestada


write the equationof the line parallel to y=2x+3 and passing through the point (7,6)

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Leora03
Leora03 Leora03
  • 04-06-2020

Answer:

y= 2x +8

Step-by-step explanation:

y= 2x+3

gradient of given line = 2

(coefficient of x term when the coefficient of y is 1)

Parallel lines have the same gradient.

Hence gradient of the unknown line is 2.

y= 2x +c

To find the value of c, substitute a coordinate.

When x= 7, y=6,

6= 2(7) +c

6= 14 +c

c= 6-14

c= -8

Thus, the equation of the line is y= 2x +8.

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