Question

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

Answer 1

y= 2x +8

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.