SOLUTION: Problem #1 Line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1). Find the slope of l. Thanks for your help on this one. I am really lost.

Question 105681: Problem #1
Line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1). Find the slope of l.

Thanks for your help on this one. I am really lost.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Line l goes through (1,3).
Line 1 is parallel to the line through (4,3) and (-3,1)
Let's call that line 2.
First, let's find the slope of line 2.
Then, we'll find the equation for line 1.
The slope of a line through two points is given by the formula:

In your case,

Parallel lines have the same slope.

The slope-intercept form of the line is

Since line 1 goes through (1,3), we can use that information to solve.

Here's how it all looks graphically.

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