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GeoGebra Classroom

# Equations of Perpendicular Lines (Open Middle) - V2

## Using integers -9 to 9 no NO MORE THAN ONE TIME EACH, fill in the blanks (below) so that NO TWO DIGITS HAVE THE SAME ABSOLUTE VALUE (AV) and to make the lines you create be perpendicular lines.

Aside from seeing the angle measure that appears (after sliding the slider), algebraically explain how you know your lines are perpendicular.

## Try to create another pair of perpendicular lines here so that the original constraints of the problem are met AND SO THAT the slope of either one of these lines is as LOW AS POSSIBLE.

What is the value of this lowest possible slope? What prevented you from getting a lower value?

## Try to create another pair of perpendicular lines here so that the original constraints of the problem are met AND SO THAT the slope of either one of these lines is as HIGH AS POSSIBLE.

What is the value of this highest possible slope? What prevented you from getting a higher value?