Question

Can u tell me where to plot the points and the original slope and the perpendicular slope

Answer 1

Answer:  The parallel line will have the same slope as the original line.

The slope of the original line is 1. $\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$   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.

$\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$  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.