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.

Explanation:

Step1: Recall the slope - intercept form

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Identify the slope

Given the equation \(y=1.5x + 0.13\), comparing it with \(y = mx + b\), we get \(m = 1.5\). Since \(m>0\), the slope is positive.

Step3: Interpret the slope

The slope \(m = 1.5=\frac{\text{Change in }y}{\text{Change in }x}\). Here, \(x\) is the amount of rain and \(y\) is the number of hours of yard work. A positive slope means that as \(x\) (amount of rain) increases, \(y\) (number of hours of yard work) increases.

Answer:

The slope of the line is positive, which means you can predict the number of hours of yard work increases if there is more rain.