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Precalculus : Graph Equations

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Example Question #1 : Graph Equations

Given y-x=-4 , which graph is the correct one?

Possible Answers:

Graph3

Grpah1

Graph2

Correct_graph

Correct answer:

Correct_graph

Explanation:

First, solve for : y=x-4 .

Then, graph the y-intercept at (0,-4) .

Since the slope of the line is , you can graph the point (4,0) as well.

There is only one graph that fits these requirements.

Correct_graph

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Example Question #2 : Graph Equations

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

y = 5x - 2

Possible Answers:

(3, 13)

(0, -2)

(2, 8)

(1, 4)

(-1, -7)

Correct answer:

(1, 4)

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:

(3, 13) : $13 = 5\cdot3 - 2 = 15 - 2 = 13$

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.

$(1,4): 5\cdot1 - 2 = 3 \neq 4$

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

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Precalculus : Graph Equations

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #1 : Graph Equations

Example Question #2 : Graph Equations

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