Question

Find the value of r so that the line that passes

through each pair of points has the given slope. (6, r), (3, 3), m= 2

Answer 1

The value of r is 9

Explanation:

- The slope of a line whose endpoints are
`(x_(1),y_(1))` and

`(x_(2),y_(2))` is
`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

- A line passes through points (6 , r) and (3 , 3)

- The slope of the line is m = 3

- We need to find the value of r

- Let
`x_(1)=6` and
`y_(1)=r`

- Let
`x_(2)=3` and
`y_(2)=3`

∵ m = 2

- Substitute these values in the rule of the slope

∴
`2=(3-r)/(3-6)`

∴
`2=(3-r)/(-3)`

- Multiply both sides by -3

∴ - 6 = 3 - r

- Add r to both sides

∴ r - 6 = 3

- Add 6 to both sides

∴ r = 9

* The value of r is 9