Question

please help all i need is the slope in case the points are hard to see here they are problem 1. (-2,2) (3,-3) problem 2. (-5,1) (4,-2) problem 3. (-1,5) (2,-4)

Answer 1

Answer: 1.
`-(5)/(6)` 2.
`-(1)/(3)` . 3.
`-3`

Explanation:

Formula: Slope
`=(y_2-y_1)/(x_2-x_1)`

1. (-2,2) (3,-3)

Slope
`=(-3-2)/(3-(-2))`

`=(-5)/(3+2)\\\\=(-5)/(6)`

Hence, slope of line passing through (-2,2) (3,-3) is
`-(5)/(6)` .

2. (-5,1) (4,-2)

Slope
`=(-2-1)/(4-(-5))`

`=(-3)/(4+5)\\\\=(-3)/(9)\\\\=-(1)/(3)`

Hence, slope of line passing through (-2,2) and (3,-3) is
`-(1)/(3)` .

3. (-1,5) (2,-4)

Slope
`=(-4-5)/(2-(-1))`

`=(-9)/(2+1)\\\\=(-9)/(3)\\\\=-3`

Hence, slope of line passing through (-1,5) and (2,-4) is -3.