Question

What is the slope of the line that passes through (0,1) and is parallel to y = 5x + 3?

Answer 1

what is the slope of y = 5x + 3

Answer 2

5

Answer 3

The slope of any parallel line is also 5.


This is because the slopes of parallel lines are equal.


So m = 5.

Answer 4

because we know that the parallel line goes through (0,1) we know that when x = 0, y = 1

Answer 5

so we know that

m = 5
x = 0
y = 1

Answer 6

y = mx+b

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

1 = 5*(0) + b ... plug in x = 0 and y = 1


now solve for b

Answer 7

b=1 ?

Answer 8

so

m = 5
b = 1

Answer 9

y = mx+b

y = 5x + b

y = 5x + 1

is your final answer