garnentas3m

2021-12-29

Find the value of x so that the slope of the line through the points

alexandrebaud43

Step 1
Given information:
The slope of line is 2/3.
The given points are (x,-3) and (4,5).
Step 2
Calculation:
The slope of the line passing through two point is calculated by $m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$
Step 3
The points are (x,-3) and (4,5).
$\frac{2}{3}=\frac{5-\left(-3\right)}{4-x}$
$2\left(4-x\right)=3\left(5+3\right)$
$8-2x=24$
$2x=8-24$
$2x=-16$
$x=-8$
Step 4
Final statement: The value of x is -8.

eskalopit

Step 1
We know that the slope of line that passes through .
By using it we can calculate the value of x.
$m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$
$m=\frac{5-\left(-3\right)}{4-x}$
$\frac{2}{3}=\frac{8}{4-x}$
$8-2x=24$
$2x=8-24=-16$
$x=-8$
Step 2
Answer: $x=-8$.

Vasquez

We know that the slope of line that passes through
$m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$
$m=\frac{5-\left(-3\right)}{4-x}$
$\frac{2}{3}=\frac{8}{4-x}$
8-2x=24
2x=8-24=-16
x=-8