Step-by-step explanation:
We need to understand what residual plot is?
A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis.
Hence, there are 2 cases related to the relation between residual plot and a linear model:
1. If the points in a residual plot are randomly dispersed around the horizontal axis => the linear model is an appropriate fit for the data
2. If the points in a residual plot has a pattern => nonlinear model is more appropriate or the line have a bad fit with the set of the data.
Hope it will find you well.
Given the system of equations. We have:
- For (5,0)
Substitute x = 5 and y = 0 in the equations:

Answer: No
- For (-7, -8)
x = -7 and y = -8

Answer: No
- For (3, -4)

This is satisfied for the first equation but not for the second. Therefore it is not a solution to the system.
Answer: No
- For (-2, -2)

Answer: No
Answer: see last picture
Step-by-step explanation:
We see that the y-intercept is 10 and the slope is -3
so when x = 0, y = 10
Graph this first point (picture 1)
Since the slope is -3, every time you go one unit to the left, you go down 3 units, so graph this second point (picture 2)
Continue this until you have no more room on the graph (picture 3)
now draw a line through the dots (picture 4)