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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

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


Find the slope first:


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)


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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