Question

How do you find the slope for (2,4) and (4,-2)?

Answer 1

Slope of the line joining `(2,4)` and `(4,-2)` is `-3`

Explanation:

Given two points `(x_1,y_1)` and `(x_2,y_2)` the slope between them is defined to be:
`color(white)("XXX")m = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

For the given points `(color(red)(2,4))` and `(color(blue)(4,-2))`, this becomes
`color(white)("XXX")m = (color(blue)((-2))-color(red)(4))/(color(blue)(4)-color(red)(2)) = (-6)/2 = -3`

Answer 2

`=-3`

Explanation:

`x_1=2`
`y_1=4`
`x_2=4`
`y_2=-2`

`m=(y_2-y_1)/(x_2-x_1)`
`m=(-2-4)/(4-2)=(-6)/2=-3`

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