Answer:
Yes
Step-by-step explanation:
As long as the slopes of these two lines are not the same, they will intersect.
Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.
Slope of 1st line: ![\frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-5-1%7D%7B-1-2%7D%20%3D%5Cfrac%7B-6%7D%7B-3%7D%20%3D%5Cfrac%7B1%7D%7B2%7D)
Slope of 2nd line: ![\frac{-6-2}{-1-1} =\frac{-8}{-2}=4](https://tex.z-dn.net/?f=%5Cfrac%7B-6-2%7D%7B-1-1%7D%20%3D%5Cfrac%7B-8%7D%7B-2%7D%3D4)
The slopes are not equal, therefore the lines intersect.
Answer:
The opposite or absolute value is 5.2
The red graph is the result of a vertical translation, 4 units down, of the black graph.
This means that, whenever the black graph associates
![x\mapsto f(x)](https://tex.z-dn.net/?f=x%5Cmapsto%20f%28x%29)
The red graph must associate 4 less to the same input:
![x\mapsto f(x)-4](https://tex.z-dn.net/?f=x%5Cmapsto%20f%28x%29-4)
So, the equation for the red graph is
![y=f(x)-4](https://tex.z-dn.net/?f=y%3Df%28x%29-4)
or, equivalently,
![y+4=f(x)](https://tex.z-dn.net/?f=y%2B4%3Df%28x%29)
Answer:
x=3
Step-by-step explanation:
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