Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

2. Graphs of Equations

Lines

College Algebra

2. Graphs of Equations

Lines

2:02 minutes

Problem 39b

Textbook Question

Find the slope and y-intercept of each line, and graph it. 4y = -3x

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Slope

The slope of a line measures its steepness and direction, represented as 'm' in the slope-intercept form of a linear equation, y = mx + b. It is calculated as the ratio of the change in y to the change in x (rise over run). A positive slope indicates the line rises from left to right, while a negative slope indicates it falls.

Y-Intercept

The y-intercept is the point where a line crosses the y-axis, represented as 'b' in the slope-intercept form of a linear equation. It can be found by setting x to zero in the equation of the line. This value is crucial for graphing the line, as it provides a starting point on the y-axis.

Graphing Linear Equations

Graphing linear equations involves plotting points that satisfy the equation on a coordinate plane. Once the slope and y-intercept are determined, the line can be drawn by starting at the y-intercept and using the slope to find additional points. This visual representation helps in understanding the relationship between the variables in the equation.