Download Math 075 - 7.1 Graphing

Math 075 - 7.1 Graphing
1. If you don’t have a graphing calculator handy, download a graphing application.
2. Consider x − 3y = 7, a linear equation in two variables.
a) What makes this equation linear?
b) In your own words, describe solutions of the equation.
b) What does the graph of x − 3y = 7 represent?
3. Determine whether the ordered pair is a solution of the linear equation x − 3y = 7. Justify your
answer.
b) (1, −2)
a) (0, 0)
c) Give your own ordered pair that is a solution.
x
4. Determine whether the ordered pair is a solution of the linear equation y = − . Justify your answer.
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b) (1, −2)
a) (0, 0)
c) Give your own ordered pair that is a solution.
1
5
5. Determine whether the ordered pair is a solution of the linear equation y = x + 2. Justify your
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answer.
a) (2, 0)
b) (6, 12)
c) Give your own ordered pair that is a solution.
6. Give an ordered pair that is a solution to the equation x = 3.
7. Give an ordered pair that is a solution to the equation y = −2.
8. Complete the table for each equation. Show work when computing values.
a) 3x + 4y = 8
x
y
0
0
1
−2
b) y = 3x + 6
x
y
0
0
1
−2
2
9. Graph the following by making a table of values and plotting. Check with a graphing calculator or a
graphing phone app.
b) y = 1 − x2
a) y = −x
c) y = |x + 1|
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