Question

The slope of the line joining points (3 ;2) and (0;a) is-1 determine the value of a​

Answer 1

Given:

The slope of the line joining points (3,2) and (0,a) is -1.

To find:

The value of a.

Solution:

If a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, the slope of a line is:

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

The slope of the line joining points (3,2) and (0,a) is -1. So,

`(a-2)/(0-3)=-1`

`(a-2)/(-3)=-1`

Multiply both sides by -3.

`a-2=-1(-3)`

`a-2=3`

`a=3+2`

`a=5`

Therefore, the value of a is 5.