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2 answers:
Answer:
Blue line is y=-2
Red line is .
Perpendicular to red is .
Parallel to red is
Step-by-step explanation:
The blue line is a horizontal line through the y-axis. These lines have no slope and are written as y=0x-2 since -2 is the y-intercept. We simplify and y=-2.
The red line has a slope of 2/3 since it rises 2 units for every 3 units it runs from point to point. It has a y-intercept at 2 on the y-axis. The equation in slope-intercept is y=mx +b. We substitute.
To write a parallel line, we use the same slope and choose a different y-intercept. Parallel to red is
To write a perpendicular line, we find the negative reciprocal of the slope which is -3/2. Perpendicular to red is .
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Answer:
It is a power function.
Step-by-step explanation:
We are given the following function in the question:
We have to check whether the given function is a power function or not.
Power Functions :
- A power function is of the form:
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Comparing the given function, we get:
Hence, the given function is a power function.