Answer:
x = 11
Explanation:
Given that,
The slope of the line, m = 3/4
First point = (x,2)
Another point = (3,-4)
We need to find the value of x.
The slope of a line is given by the formula as follows :
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2022/formulas/mathematics/college/bpkoq3bvkesp0enrhm14yweiccwgnbhsww.png)
Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4
Put all the values,
![(3)/(4)=(-4-2)/(3-x)\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11](https://img.qammunity.org/2022/formulas/mathematics/college/57cb0za8h3fi14l0viile4zwch17c8h5vq.png)
So, the value of x is 11.