Answer:
1. [tex]\frac{3}{8}[/tex]
2. [tex]\frac{1}{4}[/tex]
3a. [tex]-\frac{1}{4}[/tex]
3b. 3
3c. [tex]-\frac{4}{5}[/tex]
4. [tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]
Step-by-step explanation:
1.
Rises 6 inches for every horizontal change of 16 inches
Slope = rise/run
Slope = 6/16
Slope = 3/8
2.
Rises 3 feet for every horizontal change of 12 feet
Slope = rise/run
Slope = 3/12
Slope = 1/4
3a.
[tex]m = \frac{y_1 - y_2}{x_1-x_2}[/tex]
[tex]m = \frac{3-2}{-2-2}[/tex]
[tex]m = \frac{1}{-4}[/tex]
[tex]m = -\frac{1}{4}[/tex]
3b.
[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]
[tex]m = \frac{-1 - 2}{-1-0}[/tex]
[tex]m = \frac{-3}{-1}[/tex]
[tex]m = 3[/tex]
3c.
[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]
[tex]m = \frac{1 - (-3)}{-1-4}\\[/tex]
[tex]m = \frac{4}{-5}\\[/tex]
[tex]m = -\frac{4}{5}[/tex]
4.
[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]
