Question

x | y
-2 | 3
-1 | 5
0 | 7
1 | 9
2 | 11
what is the slope represented in the table?
slope: -1/2
slope: 1/2
slope: -2
slope: 2

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: Select two points from table

Let's take the points \((-2, 3)\) and \((-1, 5)\). Here, \( x_1=-2 \), \( y_1 = 3 \), \( x_2=-1 \), \( y_2 = 5 \).

Step3: Calculate the slope

Substitute into the formula: \( m=\frac{5 - 3}{-1-(-2)}=\frac{2}{1}=2 \). We can check with other points (e.g., \((0,7)\) and \((1,9)\)): \( m=\frac{9 - 7}{1 - 0}=\frac{2}{1}=2 \), which confirms the slope is 2.

Answer:

slope: 2