Question

What is the slope for this question?

Answer 1

Answer:

$-1$

Step-by-step explanation:

This is a really nice line that goes through a lot of grid points (where the lines intersect).

One easy way to find the slope is the phrase "rise over run."  "Rise" is the name for vertical motion from point-to-point.  "Run" is the name for horizontal motion from point-to-point.

Pick two easy points on the line, say (0, 0) and (1, -1).

If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.

The run is 1 -- because you went RIGHT 1 unit.

$\frac{\text{rise}}{\text{run}} =\frac{-1}{1} =-1$

The slope is -1.

Cool fact:  You'll get the same value if you use any two points on the line.