This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
The variable which is a categorical variable among the answer choices as in the task content is; Population of the state.
<h3>What is the categorical variable among the answer choices?</h3>
Categorical variables represent types of data which may be divided into groups. Instances of categorical variables include but are not limited to race, sex, age group, and gender.
It therefore follows from the traditional definition of categorical variables that the answer choice which represents a categorical variable is; Population of the state.
Read more on categorical variables;
brainly.com/question/20315569
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You didn’t put the question in
Answer:
![f(x)=\sqrt[3]{x} \\a=5](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%20%5C%5Ca%3D5)
Step-by-step explanation:
