The graph that represents the solution for the equations
[tex]\rm y = -x + 2 \\\\y = \dfrac{x}{2} +8[/tex]
is attached in the solution.
The question is to determine that which of the following graphs represents solution to the given system of equations
Here options are not given clearly.
Given that there are two equations of line which are given as follows in the form of equation (1) and equation (2)
[tex]\rm y = -x + 2 ........(1) \\\\y = \dfrac{x}{2} +8.........(2)[/tex]
These are linear equations with 2 variables x and y.
x is called as independent variable and y is called as dependent variable.
A graph is attached showing the plots of both the straight lines.
As there are two equations for two variables hence they can be solved to determine the point of intersection which is a common point for both the lines and hence is a common solution to both the equations.
On solving equations (1) and (2) we get
[tex]\rm x =-4 \\y= 6[/tex]
So point ( -4,6) is a common solution or point of intersection for both the lines.
The graph that represents the solution for the equations
[tex]\rm y = -x + 2 \\\\y = \dfrac{x}{2} +8[/tex]
is attached in the solution below.
For more information please refer to the link given below
https://brainly.com/question/11897796
