Find the average rate of change of the function from x1 to x2. f(x) = 3x from x1 = 0 to x2 = 5
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
- Appendix 1. Review of Real Numbers2h 24m
- Appendix 2. Linear Equations and Inequalities3h 42m
- OLD 9. Sequences, Induction, and Probability Coming soon
- 1. - OLD - Fundamental Concepts of Algebra Coming soon
- 2. - OLD - Equations and Inequalities Coming soon
- OLD 4. Rational Functions Coming soon
- OLD 2. Functions & Graphs Coming soon
- OLD 6. Exponential and Logarithmic Functions Coming soon
- OLD 7. Systems of Equations and Inequalities Coming soon
- OLD 8. Matrices and Determinants Coming soon
- OLD 9. Conic Sections Coming soon
2. Graphs of Equations
Lines
Multiple Choice
Find the slope of the line containing the points (−1,1) and (4,3).
A
m=25
B
m=52
C
m=2
D
m=34
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Verified step by step guidance1
Identify the formula for the slope of a line given two points: \( m = \frac{y_2 - y_1}{x_2 - x_1} \).
Assign the coordinates of the first point \((-1, 1)\) to \((x_1, y_1)\) and the coordinates of the second point \((4, 3)\) to \((x_2, y_2)\).
Substitute the values into the slope formula: \( m = \frac{3 - 1}{4 - (-1)} \).
Simplify the numerator: \( 3 - 1 = 2 \) and the denominator: \( 4 - (-1) = 4 + 1 = 5 \).
Calculate the slope: \( m = \frac{2}{5} \).
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