Question

Find the slope

1) Through: (4,-3) and (-2,5)

2) Through: (2,-1) and (0,-4)

Answer 1

1) 
`(4)/(-3)`

2)
`(3)/(2)`

Explanation:

To find the slope, we can use the slope formula:

`(y2 - y1)/(x2 - x1)`

1. Through (4,-3) and (-2,5):

Slope =
`(5 - (-3))/(-2 - 4)`

Slope =
`(8)/(-6)`

Simplified to:
`(4)/(-3)`

2. Through (2, -1) and (0, -4)

Slope =
`(-4 - (-1))/(0 - 2)`

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

Slope =
`(-3)/(-2) \cdot (-1)/(-1) = (3)/(2)`

Meaning that the slope of 1) is 
`(4)/(-3)` and the slope of 2) is
`(3)/(2)`.

Hope this helps!