Question

Help with both questions offering 10 points

Answer 1

1. The slope would be -2

2.The slope would be -3

Answer 2

`\:\mathrm{First\: problem:\:}-2,\\\:\mathrm{Second\: problem:\: }-3`

Explanation:

The slope of a line passing through points
`(x_1, y_1)` and
`(x_2, y_2)` is:

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

Plugging in any two points in the table we have:

First problem:

`m=(1-5)/(2-0)=(-4)/(2)=\fbox{$-2$}`

Second problem:

`m=(-1-5)/(2-0)=(-6)/(2)=\fbox{$-3$}`