Question

How do you find the slope of the line passing through the points A(4, 2) and B(-2, 4)?

Answer 1

`"slope "=-1/3`

Explanation:

`"to calculate the slope m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(4,2)" and "(x_2,y_2)=(-2,4)`

`rArrm=(4-2)/(-2-4)=2/(-6)=-1/3`

Answer 2

`m=-1/3`

Explanation:

Given:
`A-=(4,2)`
`B-=(-2,4)`
Slope of the line connecting the two points
`A-=(x_1,y_1)" and "B-=(x_2,y_2)" is given by"`
`m=(y_2-y_1)/(x_2-x_1)`
Here, we have
`x_1=4`
`y_1=2`
`x_2=-2`
`y_2=4`
`y_2-y_1=4-2`
`y_2-y_1=2`
`x_2-x_1=-2-4`
`x_2-x_1=-6`
Now,
`m=(y_2-y_1)/(x_2-x_1)=2/-6`
`m=-1/3`