Question

sketch the line of best fit for the following scatterplot:
use the graph provided above to determine the slope and the y - intercept for the relationship. provide the slope as a fraction or a decimal accurate to the nearest tenth.
m:

Explanation:

Step1: Identify two points on the line

Let's take two clear points on the line of best fit. From the graph, we can see that when \( x = 0 \), \( y = 200 \) (the y - intercept point), and another point, say when \( x = 200 \), \( y = 600 \). We can also use the point \( (-200, - 200) \) and \( (0,200) \) for easier calculation.

Step2: Calculate the slope

The formula for slope \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let's use the points \( (x_1,y_1)=(-200,-200) \) and \( (x_2,y_2)=(0,200) \).
Substitute into the formula: \( m=\frac{200-(-200)}{0 - (-200)}=\frac{200 + 200}{200}=\frac{400}{200}=2.0 \) (or as a fraction \( \frac{2}{1} \))

Answer:

The slope \( m = 2.0 \) (or \( 2 \))