equation of a line

Question

a straight line L is parallel to y=2x-3 and passes through the point (3,4)

find the equation of line L

Answer 1

Given line equation y = 2x-3

Slope m = 2

Parallel line slope = 2 and it is through (3,4).

y-4 = 2(x-3)

y-4 = 2x-6

Add 4 to each side.

y = 2x-6+4

y = 2x-2

Equation of L is y = 2x-2.