Question

find the slope of the following tables: 1.
slope formula:

x	y
-2	-9
0	1
1	6
4	21

m = ______

Explanation:

Step1: Recall slope formula

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

Step2: Choose two points from table

Let's take the points \((-2, -9)\) and \((0, 1)\). Here, \( x_1=-2,y_1 = - 9,x_2 = 0,y_2=1 \).

Step3: Substitute into slope formula

Substitute the values into the formula: \( m=\frac{1-(-9)}{0 - (-2)}=\frac{1 + 9}{0+2}=\frac{10}{2}=5 \). We can verify with other points, e.g., \((0,1)\) and \((1,6)\): \( m=\frac{6 - 1}{1-0}=\frac{5}{1}=5 \), and \((1,6)\) and \((4,21)\): \( m=\frac{21 - 6}{4 - 1}=\frac{15}{3}=5 \).

Answer:

\( 5 \)