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?

13

Step-by-step 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.

step-by-step explanation: noo

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)