Question

the slope to determine if lines PQ and RS are parallel, perpendicular, or neither. P (0, -2), Q (0,7), R (3,-5), S (6,-5) Slope of PQ Slope of RS Types of Lines

Answer 1

Given the points :

`\begin{gathered} P=(0,-2) \\ Q=(0,7) \\ R=(3,-5) \\ S=(6,-5) \end{gathered}`

The slope of PQ will be :

`slope=(rise)/(run)=(y_2-y_1)/(x_2-x_1)=(7-(-2))/(0-0)=(9)/(0)`

As the division by zero is undefined, PQ will vertical

The slope od RS will be :

`slope=(rise)/(run)=(y_2-y_1)/(x_2-x_1)=(-5-(-5))/(6-3)=(-5+5)/(3)=(0)/(3)=0`

So, the line RS is horizontal

So, the lines PQ and RS are perpendicular