Question

slope as unit rate quick check

Answers

GPT 3.5
1. The slope of a line represents the rate at which the line is increasing or decreasing. It is calculated by dividing the change in the y-values by the change in the x-values.

2. The slope of a line is also known as the unit rate. It tells us how much the y-value changes for every one unit increase in the x-value.

3. To find the slope as a unit rate, we first calculate the slope using the formula (y2 - y1) / (x2 - x1). Then, we interpret the slope as the unit rate of change.

4. For example, if the slope of a line is 2/3, it means that for every one unit increase in the x-value, the y-value increases by 2/3 units.

5. Understanding slope as a unit rate is important in interpreting and analyzing linear relationships in various contexts, such as economics, physics, and engineering.

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