Answer:
The value of r is 9
Step-by-step explanation:
- The slope of a line whose endpoints are [tex](x_{1},y_{1})[/tex] and
[tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
- 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 [tex]x_{1}=6[/tex] and [tex]y_{1}=r[/tex]
- Let [tex]x_{2}=3[/tex] and [tex]y_{2}=3[/tex]
∵ m = 2
- Substitute these values in the rule of the slope
∴ [tex]2=\frac{3-r}{3-6}[/tex]
∴ [tex]2=\frac{3-r}{-3}[/tex]
- 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
