SOLUTION: what is the equation of a line that is parallel to y=2x-3 and has a y-intercept of (0,6)

Question 530904: what is the equation of a line that is parallel to y=2x-3 and has a y-intercept of (0,6)
Answer by KMST(5397) (Show Source): You can put this solution on YOUR website!
First you have to figure out the slope of the line given, because parallel lines have the same slope.
The slope of the line

is 2 because every time x increases by 1, y increases by 2, and for any other increase in x, y will increase by 2 times as much.
When a line is given in the form
with and being two numbers, positive or negative,
the number multiplying the x (in your case ) is the slope.
The y-intercept, some times called intercept, is the b number.
In the case of the given line, , but that does not matter for the problem.
The intercept (y-intercept) is the point where the line intercepts the y-axis, which is the line .
The y-intercept point will be (x,b). (The x value will always be zero).
If you have the slope of a line ()
and the y value for the intercept ()
you can write the equation of the line as .
The parallel line you need has the same slope as the line given: .
The y-intercept point (0,6) has , so you use
Your line is
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