Find the value of k so that the lines that pass through the following points are parallel: line 1: (0,3) and (-2,4) and line 2: (k,-1) and (5,7)

For lines to be parallel, the slopes have to be the SAME.

To find the value of k, you can first find the slope of line 1 using the slope(m) formula, and plug in the points:

Now that you know the slope, you can use the slope formula to find k by plugging in what you know:

 Multiply (5 - k) on both sides

 Multiply -2 on both sides

5 - k = -2(7 + 1)

5 - k = -2(8)

5 - k = -16 Subtract 5 on both sides

-k = -21 Divide -1 on both sides

k = 21

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