SOLUTION: Write an equation for the line that is parallel to the given line and passes through the given point. y=4x+6

Question 250336: Write an equation for the line that is parallel to the given line and passes through the given point. y=4x+6
Found 2 solutions by richwmiller, solver91311:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
The slope is 4 since it is parallel
We can't make an equation for a line passing through the point that you didn't give.
If we have the point we would plug in the xand y into
y=4x+b and solve for b
then go back and write y=4x+b (using the new b)

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I can't do this one for you because you only provided the equation.

However, here's how you do it:

Note that your given equation is already in slope-intercept form, . That means that you can determine the slope of your given line by inspection of the coefficient on .

Next remember that the slopes of parallel lines are equal, that is:

Now use the point-slope form of the equation of a line to derive an equation for the desired line:

where are the coordinates of the given point and is the slope you determined in the first step.

Finally, depending on the instructions given with your assignment, or perhaps on the use you intend to put the equation that you have just derived, you may want to put the equation into a different form such as slope-intercept (as described above) or standard form: . Note that some texts require that A, B, and C be integers for proper standard form.

John

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