What is the equation of a line in point slope form that passes through (-2, -6) and has a slope of 1/3?

1 answer:

6 0

What you have to do is get it in y=mx+b form but first you could use the equation y-y1=m (x-x1) you have y+6=1/3(x+2)
you get the +6 And +2 because its a negative number then you distribute 1/3 so you multiply it by x and 2 getting y+6=1/3x+2/3
Then subtract 2/3 by 6 and get y=1/3x-16/3

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Given a quadratic function in vertex form:

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Answer:

See below

Step-by-step explanation:

Part A

A vertical stretch takes place when $a\cdot f(x)$ given that $|a| > 1$

Part B

A vertical compression takes place when $a\cdot f(x)$ given that $0 < |a| < 1$

Part C

A vertical stretch is different than a horizontal compression:

In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

Part D

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of $a$ must be negative such that $a\cdot f(x)$ as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.