Answer: The parallel line will have the same slope as the original line.
The slope of the original line is 1. [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] 0-(-6)/6-0 is 6/6.
Try (0,-3) and (3,0) or (-6,0) and (0,6) for a parallel line.
The perpendicular line will be the reciprocal and will have the opposite sign,
In this example, the slope is 1. 1 is the reciprocal of itself. The opposite sign makes the slope of the perpendicular line -1
Step-by-step explanation: The slope is rise/run.
Get the coordinates by going from left to right. Farthest Left is the First Coordinate.
[tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] The rise is the Difference in y-values: take the y of the second coorodinate, y₂ and subtract the y-value of the first coordinate, y₁ This is the numerator, the top of the fraction.
The denominator is the run, the difference in x-values. Take the x-value of the second coordinate x₂ and subtract the x-value of the first coordinate.
