1.1.1: Graphing a Linear Equation (Exercises)
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Work the following problems.
| 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) |
| 5) Graph y = 2x + 3 | 6) Graph y = - 3x + 5 |
| 7) Graph y = 4x - 3 | 8) Graph x - 2y = 8 |
| 9) Graph 2x + y = 4 | 10) Graph 2x - 3y = 6 |
SECTION 1.1 PROBLEM SET: GRAPHING A LINEAR EQUATION
| 11) Graph 2x + 4 = 0 | 12) Graph 2y - 6 = 0 |
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13) Graph the following three equations on the same set of coordinate axes. \[y = x +1 \quad y = 2x + 1 \quad y = -x + 1 \nonumber \] |
14) Graph the following three equations on the same set of coordinate axes. \[y = 2x +1 \quad y = 2x \quad y = 2x - 1 \nonumber \] |
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15) Graph the line using the parametric equations x = 1 + 2t, y = 3 + t |
16) Graph the line using the parametric equations x = 2 - 3t, y = 1 + 2t |