Answer:
Number 7: [tex]m=\frac{6}{4}[/tex]
This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.
Number 8: [tex]m=\frac{-400}{3}[/tex]
This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.
Step-by-step explanation:
Number 7:
Step 1: Identify the points on the line to use for slope formula.
The two points are (2, 11) and (6, 17).
[tex]x^1[/tex] and [tex]y^1[/tex] will be [tex](2,11)[/tex]
[tex]x^2[/tex] and [tex]y^2[/tex] will be [tex](6, 17)[/tex]
Step 2: Plug in points into slope formula.
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]m=\frac{17-11}{6-2}[/tex]
Step 3: Subtract.
[tex]m=\frac{6}{4}[/tex]
Step 4: Simplify.
improper fraction: [tex]\frac{3}{2}[/tex]
mixed number: [tex]1\frac{1}{2}[/tex]
decimal: [tex]1.5[/tex]
Number 8:
Step 1: Identify the points on the line to use for the slope formula.
The two points are (3, 1200) and (6, 800)
[tex]x^1[/tex] and [tex]y^1[/tex] will be [tex](3,1200)[/tex]
[tex]x^2[/tex] and [tex]y^2[/tex] will be [tex](6, 800)[/tex]
Step 2: Plug in points into slope formula.
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]m=\frac{800-1200}{6-3}[/tex]
Step 3: Subtract.
[tex]m=\frac{-400}{3}[/tex]
Step 4: Simplify.
Cannot be simplified further.
mixed number: [tex]m=\frac{-400}{3}[/tex]
decimal: [tex]133.333333333[/tex]