Question

use the graph to answer the question.
the graph includes points where the x-coordinate is the amount of rain recorded in a month and the y-coordinate is the number of hours homeowners spent on yard work that month.
the slope of the line is ▼, which means you can predict ▼ if there is ▼.
graph: y-axis labeled number of hours, x-axis labeled amount of rain (in). line equation: y = 1.5x + 0.13, with scatter points around it.

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.
Given the equation of the line \(y=1.5x + 0.13\), by comparing with \(y = mx + b\), we can see that the slope \(m = 1.5\) (or \(\frac{3}{2}\)).

Step2: Interpret the slope

The slope of a line in a scatter plot (or a line of best fit) represents the rate of change of the \(y\) - variable with respect to the \(x\) - variable. Here, the \(x\) - coordinate is the amount of rain (in inches) and the \(y\) - coordinate is the number of hours homeowners spent on yard work.
The slope \(m = 1.5\) means that for every 1 - inch increase in the amount of rain (increase in \(x\) by 1), the number of hours spent on yard work ( \(y\)) increases by 1.5 hours. So we can predict the number of hours spent on yard work if we know the amount of rain (or vice - versa, but in the context of the slope interpretation, since \(y\) depends on \(x\) here, it's the change in \(y\) per change in \(x\)).

Answer:

The slope of the line is \(1.5\) (or \(\frac{3}{2}\)), which means you can predict the number of hours homeowners spent on yard work if there is a change in the amount of rain (specifically, for each 1 - inch increase in rain, the hours of yard work increase by 1.5 hours).