Find the equation of the line parallel to y = 2x + 6 and passing through (4, 5)

Question

: Find the equation of the line using the given information. Type the answer in slope-intercept form without any spaces between the letters, numbers, or symbols.

Answer 1

y=2x-3

Parallel lines have the same slope

In slope intercept form y = mx +b

m = 2

Use the coordinates (4, 5) in the slope intercept equation to solve for b

5 = 2(4) + b

5 = 8 + b

Subtract 8 from both sides of the equation

-3 = b

So the line parallel to y=2x+6 is

y=2x-3

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