Question

What is the slope of the line?

Answer 1

`(2)/(3)`

Explanation:

From the graph, we can see the line passes through the points (3,0) and (0,-2).

The slope of a line,
`m`, that passes through 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)\implies (3,0)` and
`(x_2,y_2)\implies (0,-2)`.

The slope of the line that passes through these points is:

`m=(-2-0)/(0-3)=(-2)/(-3)=\boxed{(2)/(3)}`

Answer 2

2/3

Explanation:

Find two points

(0,-2) and (3,0)

Using the slope formula

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

= (0- -2)/(3-0)

= (0+2)/(3-0)

= 2/3