Identify the 𝒚– intercept & slope of . Then graph the equation.
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 & y−intercept of the line given by the equation 3x+2y−6=0
A
m=2,b=−3
B
m=−23,b=3
C
m=3,b=−23
D
m=32,b=2
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Verified step by step guidance1
Start with the given equation of the line: 3x + 2y - 6 = 0.
Rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To do this, solve for y: First, isolate the term with y by subtracting 3x from both sides, resulting in 2y = -3x + 6.
Next, divide every term by 2 to solve for y: y = -\(\frac{3}{2}\)x + 3.
Now, identify the slope (m) and y-intercept (b) from the equation y = -\(\frac{3}{2}\)x + 3. The slope m is -\(\frac{3}{2}\) and the y-intercept b is 3.
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