Question

algebra 1 fall final review 2024
name:
per
find the slope of the following tables:
1.
slope formula:
2.
1.
x | y
-2 | -9
0 | 1
1 | 6
4 | 21
m =
2.
x | -3 | 0 | 6 | 7 | 9
y | -13 | 2 | 32 | 37 | 47
m =

Explanation:

Step1: Recall Slope Formula

The slope formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Solve for Table 2

Take two points from Table 2, e.g., \((-3, -13)\) and \((0, 2)\).
Substitute into the formula: \(m=\frac{2 - (-13)}{0 - (-3)}=\frac{2 + 13}{0 + 3}=\frac{15}{3}=5\).
Check with another pair, e.g., \((0, 2)\) and \((6, 32)\): \(m=\frac{32 - 2}{6 - 0}=\frac{30}{6}=5\).
Another check: \((6, 32)\) and \((7, 37)\): \(m=\frac{37 - 32}{7 - 6}=\frac{5}{1}=5\).
And \((7, 37)\) and \((9, 47)\): \(m=\frac{47 - 37}{9 - 7}=\frac{10}{2}=5\).

Answer:

For Table 1, slope \(m = 5\) (as calculated in the image and verified). For Table 2, slope \(m = 5\).