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y = 4x + 2

Find the slope of a line parallel to the given equation.

First, let's take a look at what it means to be parallel.

The easiest way to look at it, is to think of railroad tracks.

Parallel lines are the same distance apart for EVERY point on the line.

This means, parallel lines will NEVER, ever cross. There will never be a point in common with both.

Now think about how this will help us with our slope in the equation.

Try to answer the following.

Our parallel line will have:

a) the same slope as the given line

OR

b) a different slope as the given line

That's right, (a). If you're asked to find the equation/slope of a parallel line to a given line, the parallel line will always have the exact SAME slope as your given line!

Since our given line y= 4x +2 has a slope of 4, the parallel line to y = 4x +2 will also have a slope of 4.

Remember, the general form of a linear equation is y = mx +b, where m = slope and b = y-intercept.

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Q: Find the slope of a line parallel to the graph of y 4x 2?
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