Question

Question #fec7d

Answer 1

The slope of this line is -2.

Explanation:

First of all, we begin with the definition of slope. Rise over run, or how a line progresses vertically in relation to how it moves horizontal

So, the formula to find the slope with any 2 coordinates is the vertical distance divided by the horizontal distance.
Or...
`(y_2-y_1)/(x_2-x_1)`

We subtract the first y value from the second to find the distance.
(`y_2-y_1`)
`(7-3)`
Do the same with the x value.
(`x_2-x_1`)
`(2-4)`
Now we have a rise of 4 as it goes up by 4
The run is -2 as it goes down by 2
`(y_2-y_1)/(x_2-x_1)`
`(7-3)/(4-2)`
Finally we have `4/-2`
By simplifying, the slope is -2.
Hope this helps.