1.3.1: Determining the Equation of a Line (Exercises)
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SECTION 1.3 PROBLEM SET: DETERMINING THE EQUATION OF A LINE
Write an equation of the line satisfying the following conditions.
Write the equation in the form y = mx + b.
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1) It passes through the point (3, 10) and has
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2) It passes through point (4,5) and has m = 0. |
| 3) It passes through (3, 5) and (2, - 1). | 4) It has slope 3, and its y-intercept equals 2. |
| 5) It passes through (5, - 2) and m = 2/5. | 6) It passes through (- 5, - 3) and (10, 0). |
| 7) It passes through (4, - 4) and (5, 3). | 8) It passes through (7, - 2) ; its y-intercept is 5. |
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9) It passes through (2, - 5) and its x-intercept
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10) Its a horizontal line through the point (2, - 1). |
SECTION 1.3 PROBLEM SET: DETERMINING THE EQUATION OF A LINE
Write an equation of the line satisfying the following conditions.
Write the equation in the form y = mx + b.
| 11) It passes through (5, - 4) and (1, - 4). | 12) It is a vertical line through the point (3, - 2). |
| 13) It passes through (3, - 4) and (3, 4). | 14) It has x-intercept = 3 and y-intercept = 4. |
Write an equation of the line satisfying the following conditions.
Write the equation in the form Ax + By = C.
| 15) It passes through (3, - 1) and m = 2. | 16) It passes through (- 2, 1) and m = - 3/2. |
| 17) It passes through (- 4, - 2) and m = 3/4. | 18) Its x-intercept equals 3, and m = - 5/3. |
SECTION 1.3 PROBLEM SET: DETERMINING THE EQUATION OF A LINE
Write an equation of the line satisfying the following conditions.
Write the equation in the form Ax + By = C.
| 19) It passes through (2, - 3) and (5, 1). | 20) It passes through (1, - 3) and (- 5, 5). |
Write an equation of the line satisfying the following conditions.
Write the equation in point slope form y-y
1
= m (x-x
1
)
| 21) It passes through (2, - 3) and (5, 1). | 22) It passes through (1, - 3) and (- 5, 2). |
| 23) It passes through (6, -2) and (0, 2). | 24) It passes through (8, 2) and (-7, -4). |
| 25) It passes through (-12, 7) and has slope = -1/3. | 26) It passes through (8, - 7) and has slope 3/4. |