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\(At what point does the line containing the points $(1, 7)$ and $(3, 11)$ intersect the $y$-axis? Express your answer as an ordered pair.\)

 Jun 21, 2019
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The best way to do this problem is to find the equation of the line in slope intercept form.

 

Find the slope first:

\(\frac{7-11}{1-3}=\frac{-4}{-2}=2\)

Now substitute 2 for the slope in y=mx+b and put one of the points in for x and y, I'll use (1,7)

7=2(1)+b

Solve for b, the y intercept

7=2+b subtract 2

5=b so the y-intercept is the point (0,5)

 Jun 21, 2019

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