Question

Hm, I seem to be a stick in the mud with this one:
What is the slope of the line that passes through (0,1) and is parallel to y = 5x + 3?

Answer 1

The slope of y = 5x + 3 is m = ______ (fill in the blank)

Answer 2

m=5?

Answer 3

so the slope of any line parallel to y = 5x + 3 is also 5

this is because if two lines are parallel, then their slopes are equal

Answer 4

we know that m = 5 (parallel slope) and the given point on this parallel line is (0,1)

so that means that when x = 0, y = 1

Answer 5

y = mx + b

y = 5x + b ... plug in the parallel slope m = 5

1 = 5(0) + b ... plug in the given point (0,1)

now solve for b and tell me what you get

Answer 6

1 = 0 + b
1 = b

Answer 7

so m = 5, b = 1

Answer 8

y = mx+b

y = 5x + 1

Answer 9

that's the equation of the parallel line that goes through (0,1)

Answer 10

Thanks so much!

Answer 11

you're welcome