Answer:
5) Slope is 3/2 or 1.5
6) Slope is -1.
Step-by-step explanation:
To find the slope of any line given two points, we can use the slope-formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's use the slope formula for each of our tables.
Table 5)
From this table, let's pick any two points. It really doesn't matter which we pick. I'm going to pick the first two columns.
So, our points are (0, -4) and (2, -1).
Now, we can use the slope formula. Let's let (0, -4) be (x₁, y₁) and let's let (2, -1) be (x₂, y₂). Substitute:
[tex]m=\frac{-1-(-4)}{2-0}[/tex]
Simplify:
[tex]m=\frac{-1+4}{2}[/tex]
Add:
[tex]m=\frac{3}{2}=1.5[/tex]
So, the slope of the line from Table 5 is 3/2 or 1.5.
Table 6:
Again, we can pick any two points. I'm going to use the first two columns.
So, our points are (-4, 7) and (-1, 4).
Let's let (-4, 7) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). Substitute:
[tex]m=\frac{4-7}{-1-(-4)}[/tex]
Simplify:
[tex]m=\frac{4-7}{-1+4}[/tex]
Add or subtract:
[tex]m=\frac{-3}{3}[/tex]
Divide:
[tex]m=-1[/tex]
So, the slope of the line from Table 6 is -1.
And we're done!
