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A linear function has slope of -5/3. What does the slope tell us about the graph of the function

User Gautam Savaliya
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24 votes

Answer:

Explanation:

The slope of a linear function is a measure of the rate at which the value of the function changes as the input (x) changes. A slope of -5/3 means that for every 3 units of change in the input, the output (y) changes by -5 units.

In general, a negative slope indicates that the graph of the function is decreasing. As the input increases, the output decreases. A slope of -5/3 is a relatively steep negative slope, which means that the graph of the function will have a steep downward slope.

A slope of -5/3 also tells us that the function is not a horizontal line. A horizontal line has a slope of 0, which means that the output does not change as the input changes. A slope of -5/3 is not equal to 0, which means that the function is not a horizontal line.

Overall, the slope of a linear function tells us about the direction and steepness of the graph of the function. A slope of -5/3 indicates that the graph of the function is decreasing and relatively steep.

User Ilya Kisil
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