Question

Find the slope of the line containing the two points.

(0,3),(4,0)

Please show work

Answer 1

`m=-(3)/(4)`.

Explanation:

We have been given coordinates of two points on a line. We are asked to find the slope of the line using given points.

We will use slope formula to solve our given problem.

`m=(y_2-y_1)/(x_2-x_1)`, where,

m = Slope of line,

`y_2-y_1` = Difference between two y-coordinates on the line.

`x_2-x_1` = Difference between two x-coordinates of the same y-coordinates.

Let
`(0,3)=(x_1,y_1)` and
`(4,0)=(x_2,y_2)`

Substitute coordinates of the given points in slope formula:

`m=(0-3)/(4-0)`

`m=(-3)/(4)`

`m=-(3)/(4)`

Therefore, the slope of the line passing through given points is
`-(3)/(4)`.