ANSWER
(-11, 1)
(-9, -1)
-0.8
1/4
1
(-9, -1)
EXPLANATION
- The starting point for the red line is (-11, 1)
- The lines intersect, that is, they touch each other. They intersect at point (-9, -1)
- The rate of change is the same as the slope.
The slope is gotten by picking any two points on the graph and finding:
[tex]\text{Slope = }\frac{y_{2\text{ }}-y_1}{x_{2\text{ }}-x_1}[/tex]
Let us pick points (-8, -2) and (-3, -6).
Therefore, the slope for the red line is:
[tex]\text{Slope = }\frac{-6\text{ - (-2)}}{-3-(-8)}\text{ = }\frac{-6\text{ + 2}}{-3\text{ + 8}}=\text{ }\frac{-4}{5}=\text{ -0.8}[/tex]
- For the blue line, let us pick points (-4, 0) and (0, 1)
The slope for the blue line is:
[tex]\text{Slope = }\frac{1\text{ - 0}}{0\text{ - (-4)}}\text{ = }\frac{1}{4}[/tex]
- The y intercept of the blue line is 1
- The solution of the system of lines in the graph is the point of intersection of both lines and that is (-9, -1)
