Chapter 3 Vocabulary

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Name: Rakeesh S. Kumar Date:10/21/14 Block:2/B Chapter 3 Vocabulary 1. Quadrant - The four regions into which the coordinate plane is divided by the x-axis and the y-axis. 2. Solution of an Equation in Two Variables - An ordered pair that produces a true statement when the coordinates of the ordered pair are substituted for the variables in the equation. 3. Graph of an Equation in Two Variables - The set of points in a coordinate plane that represent all solutions of the equation. 4. Linear Equation - An equation whose graph is a line. 5. Standard Form of a Linear Equation - Ax + By = C, where A, C are real numbers and A and B are not both zero. 6. Linear Function - The equation Ax + By = C represents a linear function provided B 0. 7. x-intercept - The x-coordinate of a point where a graph crosses the x-axis. 8. y-intercept - The y-coordinate of a point where a grpah crosses the y-axis. 9. Slope - The slope m of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points (x1,y1) and (x2,y2) on the line: m = y 2y 1 x 2x 1 . 10. Rate of Change - A comparison of a change in one quantity with a change in another quantity. In real-situations, you can interpret the slope of a line as a rate of change. 11. Slope-Intercept Form - A linear equation written in the form y = mx + b where m is the slope and b is the y-intercept of the equation’s graph.

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Transcript of Chapter 3 Vocabulary

Page 1: Chapter 3 Vocabulary

Name: Rakeesh S. Kumar Date :10/21/14

Block :2/B

Chapter 3 Vocabulary1. Quadrant - The four regions into which the coordinate plane is divided by the x-axis and the y-axis.

2. Solution of an Equation in Two Variables - An ordered pair that produces a true statement when the coordinates of the ordered pair are substituted for the variables in the equation.

3. Graph of an Equation in Two Variables - The set of points in a coordinate plane that represent all solutions of the equation.

4. Linear Equation - An equation whose graph is a line.

5. Standard Form of a Linear Equation - Ax + By = C, where A, B¸C are real numbers and A and B are not both zero.

6. Linear Function - The equation Ax + By = C represents a linear function provided B ≠ 0.

7. x-intercept - The x-coordinate of a point where a graph crosses the x-axis.

8. y-intercept - The y-coordinate of a point where a grpah crosses the y-axis.

9. Slope - The slope m of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal

change (the run) between any two points (x1,y1) and (x2,y2) on the line: m = y2− y1x2−x1 .

10. Rate of Change - A comparison of a change in one quantity with a change in another quantity. In real-situations, you can interpret the slope of a line as a rate of change.

11. Slope-Intercept Form - A linear equation written in the form y = mx + b where m is the slope and b is the y-intercept of the equation’s graph.

12. Parallel - Two lines in the same plane that do not intersect.

13. Direct Variation - The relationship of two variables x and y if there is a nonzero number a such that y = ax. If y = ax, then y is said to vary directly with x.

14. Constant of Variation - The nonzero constant a in a direct variation equation y = ax or in an inverse

variation equation y = ax .

15.Funtion Notation - A way to name a function using the symbol f(x) instead of y. The sybol f(x) is read as “the value of f at x” or as “f of x.”

16. Family of Functions - A group of funtions with similar characteristics.

Page 2: Chapter 3 Vocabulary

Name: Rakeesh S. Kumar Date :10/21/14

Block :2/B17. Parent Linear Function - The function f(x) = x, which is the most basic function in the family of linear functions.