2. What is the slope of the line that passes through the points C(-2, 4) and D(1, -1)
2 answers:
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point C(-2, 4)
Point D(1, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
- Subtract/Add:
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Using it's formula, the average rates of change are given as follows:
a) 30 meters per second.
b) -10 meters per second.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:
For item a, taking the data from the table, we have that:
- f(0) = 0.
- f(4.6) = 138.
Hence the rate is given as follows:
r = (138 - 0)/(4.6 - 0) = 30 meters per second.
For item b, taking the data from the table, we have that:
- f(9.2) = 23.
- f(11.5) = 0.
Hence the rate is given as follows:
r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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