Question

Points $A$ and $B$ have the same $y$-coordinate of 13, but different $x$-coordinates. What is the sum of the slope and the $y$-intercept of the line containing both points?

Answer 1

13

Explanation:

This one sounds really hard, but its actually really easy once you think about it.

The problem states that both y coordinate are 13, but have different x coordinates. It asks for the sum of the slope and the y intercept. The y intercept will always have 0 as x.

To find a slope, the equation is y2-y1/x2-x1. In this case, we don't actually know what x is. But we do know what y is:

13-13/x2-x1

0/x2-x1

0

So the slope is 0.

Since we know that the y intercept has to have 0 as x, we don't actually need to know what x is.

So the y intercept is 13.

13+0=13.