Precalculus : Graph Equations

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #1 : Graph Equations

Given , which graph is the correct one?

Possible Answers:

Graph3

Correct_graph

Grpah1

Graph2

Correct answer:

Correct_graph

Explanation:

First, solve for .

Then, graph the  at .

Since the slope of the line is , you can graph the point  as well.

There is only one graph that fits these requirements.

Correct_graph

Example Question #2 : Graph Equations

Which of the following does not lie on the line given by the equation below? 

Possible Answers:

Correct answer:

Explanation:

To determine if a point lies on a line, plug in the x-value and y-value to see if the equation is satisfied. We can do this for each choice to check. 

For example: 

Since both sides are equivalent, this point does lie on the line. 

We can continue to do this for each of the points until one point does not work out. 

Thus, this point does not lie on the line. Thus, this must be the solution. 

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