### Instruction: 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.### Response: So we want to find the equation of the line through the points $(1, 7)$ and $(3, 11)$.
Then we can just plug in $x=0$ to find the $y$-intercept.
First let's find the slope of the line.
That's just $\frac{11-7}{3-1}=2$.
Now we can use the point-slope formula to find the equation of the line.
That's $y-7=2(x-1)$.
Simplifying that gives $y=2x+5$.
So when $x=0$, $y=2(0)+5=5$.