Answer:
required Value of x is x=8
Step-by-step explanation:
We are given two points: (5,8) and (x,14) and slope =2 . We need to find value of x.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given slope =2 , x₁=5, y₁=8, x₂=x, y₂=14
So, we actually need to find value of x₂. Putting values in formula and find value of x
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\2=\frac{14-8}{x-5}\\Solving:\\2(x-5)=6\\2x-10=6\\2x=6+10\\2x=16\\x=\frac{16}{2}\\x=8[/tex]
So, required value of x=8
