# The pair of points lies on the same line with the given slope. Find X? (5,14), (X, 23); slope = 3

May 27, 2018

It should be 8.

#### Explanation:

By the formula , $y - {y}_{1} = m \left(x - {x}_{1}\right)$ , where m is the slope of the line and the points are $\left(x , y\right)$ and $\left({x}_{1} , {y}_{1}\right)$ ,

Putting the values in the above formula, we can find that -

$14 - 23 = 3 \left(5 - x\right)$

$\implies - 9 = 3 \left(5 - x\right)$

$\implies - 3 = 5 - x$

$\implies x = 5 + 3 = 8$

Hence the value of $x$ should be 8 and thus the points will be $\left(5 , 14\right)$ and $\left(8 , 23\right)$

May 27, 2018

X = 8

#### Explanation:

Slope formula : $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

First you must plug in the point into this formula and the slope is 3 so you set it equal to 3
$\frac{14 - 23}{5 - x} = 3$

Cross Multiply
$3 \left(5 - x\right) = 14 - 23$

Simplify
$15 - 3 x = - 9$

Subtract 15 on both sides
$- 3 x = - 24$

Divide by -3 on both sides
x = 8