Question

Question #cf170

Answer 1

`-13/21`

Explanation:

To solve this, you can use the point-slope form, which is

`((y_2-y_1)/(x_2-x_1))=m`

when m is equal to slope, and shared subscript denotes the x and y values are from a shared point.

To actually use this formula, you have to assign first and second points. If using the question's points in chronological order, then

`(-14,13)` is the first point, and `(7,0)` is the second, shown as
`(-14,13)_1` and `(7,0)_2`

Now you can replace each variable with its corresponding value
`((y_2-y_1)/(x_2-x_1))=m`
`(((0)-(13))/((7)-(-14)))=m`

Simplify
`(0-13)/(7+14)=m`

Solve
`-13/21=m`

Therefore, the slope is `-13/21`

Answer 2

`-13/21`

Explanation:

Slope is equal to `(Deltay)/(Deltax)`, or in other words, change in `y` over change in `x` (The triangle is the Greek letter Delta, which means "change in").

Let's figure out how much did our `x`-value change by:
To get from -14 to 7, we have to add 21, thus `Deltax=21`. This will be our denominator.

`y` went from 13 to 0, so our change in `y`, or `Deltay`, is `-13`. This will be our numerator.

Now we have our slope:

`(Deltay)/(Deltax)=-13/21`