Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g. find the equation of a line parallel or perpendicular to a given line that passes through a given point).

Sample Practice Questions (3)

The graph below shows two lines,

L_{1}

and

L_{2}

. What is the relationship between

L_{1}

and

L_{2}

AParallel

BPerpendicular

CIntersecting but not perpendicular

DCoincident

The graph of a line is shown on the coordinate plane. Which of the following equations represents a line perpendicular to the graphed line?

y = - 2 x + 1

y = 2 x - 3

y = - \frac{1}{2} x + 4

y = \frac{1}{2} x - 5

Look at the graph shown below. Line

L

is graphed on the coordinate plane. Which equation represents a line that is parallel to line

L

y = x + 5

y = - x + 5

y = 2 x + 2

y = - 2 x + 2

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