Question

1. find the slope.

a (-0,-3)
b 3/2
c none of the above
d -3/2

1. what type of slope does the following graph have?

a zero slope
b positive
c negative
d undefined

1. find the slope of the line that passes through (10, -8) and (1, 12).

a 20/9
b -20/9
c 9/4
d 4/9

1. find the slope of the line that passes through the points (2, 4) and (6, 12)

a 2
b -2
c -1/2
d 1/2

Explanation:

Problem 5

Step1: Identify two points on line

From the graph, use points $(0, -3)$ and $(2, 0)$

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-3)}{2 - 0} = \frac{3}{2}$

Problem 6

Step1: Analyze line direction

The line falls from left to right, so it has a negative slope.

Problem 7

Step1: Assign point coordinates

Let $(x_1, y_1)=(10, -8)$, $(x_2, y_2)=(1, 12)$

Step2: Calculate slope via formula

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - (-8)}{1 - 10} = \frac{20}{-9} = -\frac{20}{9}$

Problem 8

Step1: Assign point coordinates

Let $(x_1, y_1)=(2, 4)$, $(x_2, y_2)=(6, 12)$

Step2: Calculate slope via formula

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 4}{6 - 2} = \frac{8}{4} = 2$

Answer:

1. B. 3/2
2. C. Negative
3. B. -20/9
4. A. 2