Question

What is the slope of the line passing through the following points: #(4,0), (7, -6)?

Answer 1

The slope is `-2`.

Explanation:

The formula for slope is `("change in y")/("change in x")`, or `(y_2-y_1)/(x_2-x_1)`.

Since we have the values of two points, `(4, 0)` and `(7, -6)`, we can plug them into the formula and solve for the slope:
`(-6-0)/(7-4)`

And now we simplify:
`-6/3`

`-2`

The slope is `-2`.

Hope this helps!