Question

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The pair of points lies on the same line with the given slope. Find x.
(5,8). (x,14); slope = 2
Find x.
(Type an integer or a simplified fraction.)

Answer 1

required Value of x is x=8

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:
`Slope=(y_2-y_1)/(x_2-x_1)`

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

`Slope=(y_2-y_1)/(x_2-x_1)\\2=(14-8)/(x-5)\\Solving:\\2(x-5)=6\\2x-10=6\\2x=6+10\\2x=16\\x=(16)/(2)\\x=8`

So, required value of x=8