1-3. Quiz
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Parallel lines have the same slope but different y-intercepts. Perpendicular lines have slopes that are opposite reciprocals of one another.
Parallel: None.
Perpendicular: Lines a and b.
Parallel lines have the same slope but different y-intercept. Perpendicular lines have slopes that are opposite reciprocals of one another. Therefore, to determine if the lines are parallel, perpendicular, or neither, we first need to find their slopes using the Slope Formula.
| Line | Points | y_2-y_1/x_2-x_1 | Slope | Simplified Slope |
|---|---|---|---|---|
| a | ( -2,2) & ( 2,1) | 1- 2/2-( -2) | -1/4 | -1/4 |
| b | ( 1, -8) & ( 3,0) | 0-( -8)/3- 1 | 8/2 | 4 |
| c | ( -4, -3) & ( 0,-2) | -2-( -3)/0-( -4) | 1/4 | 1/4 |