What is the slope of this trend line?

Question

A. 2
B. 1/2
C. 0
D. 10

Given a graph: x-axis: 0,1,2,3,4,5
Y-axis: 10,20,30,40,50,60,
arrow going up

Answer 1

To determine the slope of the trend line based on the information provided from the graph:

1. Identify two points on the trend line. For example:

   • Point 1: (0, 10)
   • Point 2: (5, 60)

2. Calculate the slope (m) using the slope formula:
   \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

For the chosen points:

• \(y_2 = 60\) (from point (5, 60))
• \(y_1 = 10\) (from point (0, 10))
• \(x_2 = 5\)
• \(x_1 = 0\)

Substituting these values into the slope formula gives: \[ m = \frac{60 - 10}{5 - 0} = \frac{50}{5} = 10 \]

Thus, the slope of the trend line is 10.

So, the correct answer is: D. 10