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and the y - intercept is 2. fill in the blanks a slope of 3 means a cha…

Question

and the y - intercept is

  1. fill in the blanks a slope of 3 means a

change of 3 units
for every
change of one unit.

Explanation:

Step1: Recall the slope formula

The slope \(m=\frac{\Delta y}{\Delta x}\), where \(\Delta y\) is the change in \(y\) - values and \(\Delta x\) is the change in \(x\) - values.

Step2: Substitute the slope value

Given \(m = 3=\frac{\Delta y}{\Delta x}\). If \(\Delta x=1\), then \(\Delta y = 3\).

Answer:

A slope of \(3\) means a \(y -\) change of \(3\) units for every \(x -\) change of one unit.