Two perpendicular lines intersect at the point \((5,8)\). What might be the equations of the lines?

Go to Desmos to plot the point and find some perpendicular lines through that point.

Desmos

Consider:

a) How can you find an equation that has \((5,8)\) as one of its points?

b) How can you find a perpendicular line through that point?

c) Make sure to discuss multiple approaches

(When you find your equations, remember to substitute \((5,8)\) into each equation to verify that your equations really work.)

Are there any other solutions to this system? Why/why not?

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