\(At what point does the line containing the points $(1, 7)$ and $(3, 11)$ intersect the $y$-axis? Express your answer as an ordered pair.\)
+247 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)
