Geometry: G.GPE.B.4 Guide 1

Geometry: G.GPE.B.4 Guide 1

Slope, Distance formula, Midpoint Formula

Multiple Select

Which of the following is the slope of a line? Select all that apply.

• $\frac{rise}{run}$

• $\frac{\Delta y}{\Delta x}$ (that is read change in y over change in x)

• $\frac{x_2-x_1}{y_2-y_1}$

• $\frac{y_2-y_1}{x_2-x_1}$

• $rise-run$

Multiple Choice

What is the direction of the slope?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What is the direction of the slope?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What is the direction of the slope?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What is the direction of the slope?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

Find the slope of:
(12,-2) and (4, -6)

• -1/2
• 5/7
• -2
• 1/2

Multiple Choice

Find the slope of:
(7,1) and (-2,1)

• 0
• -1/2
• undefined
• -8

Multiple Choice

Find the slope of:
(-4,5) and (-4, 2)

• 0
• 6
• undefined
• -3/8

Multiple Choice

Find the slope of:
(1,8) and (3,12)

• 2
• 1/2
• 9/7
• -2

Multiple Choice

What is the equation of the red graph pictured?

• y = 3

• x = 3

• y = -3

• x = -3

Multiple Choice

What is the equation of the red graph pictured?

• y = -4

• x = -4

• y = 4

• x = 4

Multiple Choice

What is the equation of this line?

• x=5
• y=5
• y=5x
• x=-5

Multiple Choice

What is the equation of the line?

• y = 0
• y = 1
• y = 2
• x = 1

Multiple Choice

Vertical or horizontal?
Undefined slope

• vertical
• horizontal
• neither

Multiple Choice

Vertical or horizontal?
Slope of 0

• vertical
• horizontal
• neither

Multiple Choice

Vertical or horizontal?
y = 2x + 3

• vertical 
• horizontal
• neither

Multiple Choice

Vertical or horizontal?
y = -3

• vertical 
• horizontal
• neither

Multiple Choice

Vertical or horizontal?
x = 4

• vertical 
• horizontal
• neither

Multiple Choice

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Multiple Choice

Find the distance between (-4, 5) and (7, 18).

• 15.96
• 16.08
• 16.23
• 17.03

Multiple Choice

Find the distance between (-5, -8) and (-1, -16).

• 8.9
• 9.8
• 10.3
• 11

Multiple Choice

Find the distance between (-12, 1) and (12, -1).

• 24.05
• 24.06
• 24.07
• 24.08

Multiple Choice

What is the midpoint between (3, -1) and (7, -5)

• (5, -2)
• (10, -6)
• (5, -3)
• (2, -2)

Multiple Choice

Find the y-coordinate of the midpoint of the line

• 1
• 2
• -2
• 3

Multiple Choice

(7, 4) (9, -1)

• (8, 1.5)
• (2,1)
• (-8, 1.5)

Multiple Choice

(4, -1) (2, -7)

• (0, 5)
• (-3, -4)
• (3, -4)

Multiple Choice

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

• (1, 3)

• (3.5, -.5)

• (-.5, 3.5)

• (6, -.5)