Question

Which number best represents the slope of the graphed line?

Answer 1

1/2 or 0.5

Explanation:

Hello!

Pick two points on the graph, I'm picking (0,5) and (2,6)

To solve for the slope, we want the ratio to the rise of the graph, over the run of the graph (Rise/Run).

As the graph Rises 1 unit, it also Runs 2 units.

Hence the fraction 1/2.

We can also use the slope formula, given two points : (
`(x_1, y_1) , (x_2, y_2)`

Formula:
`(y_2 - y_2)/(x_2 - x_1)`

Plug in our points (0,5) and (2,6):

• 
  `(y_2 - y_2)/(x_2 - x_1)`
• 
  `(6 - 5)/(2 - 0)`
• 
  `\frac12`

The slope is 1/2, or 0.5