1.2E: Exercises - Graphing Linear Equations
PROBLEM SET: GRAPHING A LINEAR EQUATION
Work the following problems.
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1) Is the point (2, 3) on the line 5x - 2y = 4? |
2) Is the point (1, - 2) on the line 6x - y = 4? |
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3) For the line 3x - y = 12, complete the following ordered pairs. (2,___) (___, 6) (0,___) (___, 0) |
4) For the line 4x + 3y = 24, complete the following ordered pairs. (3,___) (___, 4) (0,___) (___, 0) |
Graph the following equations using intercepts.
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5) Graph 2x + 4 = 0 |
6) Graph 2y - 6 = 0 |
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7) Graph the following three equations on the same set of coordinate axes. \[y = x +1 \quad y = 2x + 1 \quad y = -x + 1 \nonumber \] |
8) Graph the following three equations on the same set of coordinate axes. \[y = 2x +1 \quad y = 2x \quad y = 2x - 1 \nonumber \] |
Find the slope of the line passing through the following pair of points.
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9) (2, 3) and (5, 9) |
10) (4, 1) and (2, 5) |
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11) (- 1, 1) and (1, 3) |
12) (4, 3) and (- 1, 3) |
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13) (6, - 5) and (4, - 1) |
14) (5, 3) and (- 1, - 4) |
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15) (3, 4) and (3, 7) |
16) (- 2, 4) and (- 3, - 2) |
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16) (- 3, - 5) and (- 1, - 7) |
17) (0, 4) and (3, 0) |
Determine the slope of the line from the given equation of the line.
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18) y = - 2x + 1 |
19) y = 3x - 2 |
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20) 2x - y = 6 |
21) x + 3y = 6 |
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22) 3x - 4y = 12 |
23) What is the slope of the x-axis?
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Graph the line that passes through the given point and has the given slope.
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24) (1, 2) and m = - 3/4 |
25) (2, - 1) and m = 2/3 |
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26) (0, 2) and m = - 2 |
27) (2, 3) and m = 0 |
Graph the following equations using their slope and y-intercept.
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28) Graph y = 2x + 3 |
29) Graph y = - 3x + 5 |
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30) Graph y = 4x - 3 |
31) Graph x - 2y = 8 |
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32) Graph 2x + y = 4 |
33) Graph 2x - 3y = 6 |