Question

Find the slope of (3,-24)(19,-48)

Answer 1

`-(3)/(2)`

Explanation:

The slope of a line that passes through two points
`(x_1, y_1)` and
`(x_2, y_2)` is given by:

`m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`

Let:

`(x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)`

Substitute into slope formula:

`m=(-48-(-24))/(19-3)=(-24)/(16)=\boxed{-(3)/(2)}`

Answer 2

-3/2

Explanation:

To find the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

= (-48- -24)/(19 -3)

= (-48+24)/(19-3)

= -24/16

= -3/2