Quiz about B-man: Perpendicular Lines in the Plane

Question 1

Select ALL equations of lines that are PERPENDICULAR to this line:

$$y=5x-2$$

Accepted Answer

$$y=-\frac{1}{5}x-7$$

Accepted Answer

$$y=-\frac{1}{5}x+8$$

Accepted Answer

$$y=-\frac{1}{5}x-15$$

Answer

$$y=-5x+2$$

Answer

$$y=\frac{1}{5}x-4$$

Question 2

What is the slope of any line perpendicular to the line shown in the graph?

Accepted Answer

$$m=-\frac{3}{5}$$

Answer

$$m=\frac{5}{3}$$

Answer

$$=-\frac{5}{3}$$

Answer

$$m=\frac{3}{5}$$

Question 3

Select the equation of the line that is PERPENDICULAR to the line through the points $$P\left(-4,8\right)\ and\ Q\left(1,2\right).$$ HINT: Use $$m=\frac{y_2-y_1}{x_2-x_1}$$ to the find the slope of $$\overleftarrow{P}\overrightarrow{Q}$$ .

Accepted Answer

$$m_{\perp}=\frac{5}{6}$$

Answer

$$m_{\perp}=-\frac{6}{5}$$

Answer

$$m_{\perp}=\frac{6}{5}$$

Answer

$$m_{\perp}=-\frac{5}{6}$$

Question 4

Given the four points in the coordinate plane, determine if ADJACENT sides are PERPENDICULAR or not.

$$A\left(-3,1\right),\ B\left(2,6\right),\ C\left(11,-4\right)\ and\ D\left(6,-9\right)$$

HINT: It might help to graph the points in the coordinate plane to visualize.

Accepted Answer

The lines are NOT perpendicular since slopes of opposites sides are NOT opposite reciprocals.

Answer

The lines are perpendicular since slopes of opposite sides ARE opposite reciprocals.

Answer

There is not enough information to determine

B-man: Perpendicular Lines in the Plane

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