Question

What is the function rule of the line parallel to y = 2x + 7 that passes through the point (-3,5)?

Answer 1

y = 2x + 11

Explanation:

Parallel means the two lines have the same slope. The slope = 2 because the two is in front of the x. Whatever number is in front of the x is the slope.

So far what you know is

y = 2x + b

The point (-3,5) is what you need to get b.

y = 2x + b

y = 5

x = - 3

5 = -3(2) + b

5 = -6 + b

b = 5 + 6

b = 11

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Equation

y = 2x + 11