Flashcards for Algebra 1 chapter 4 Graphing Linear Equations
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| 118877534 | quadrant | One of 4 regions of the coordinate plane formed by the intersection of the x- and y-axes. | |
| 118877535 | abscissa | The x-coordinate of an ordered pair. | |
| 118877536 | ordinate | The y-coordinate of an ordered pair. | |
| 118877537 | ordered pair | Describes a location on the coordinate plane, with the x-coordinate listed first and the y-coordinate listed second. | |
| 118877538 | origin | Ordered pair (0,0); the place where the axes in a coordinate plane meet. | |
| 118877539 | Ax + By = C | Standard form of a linear equation, where A, B, and C represent constant numbers and x and y represent variables. | |
| 118877540 | Table of Values Graphing Method | One way to graph a function; first find some x-values in the domain, and then calculate the y-values using the function rule; points can then be plotted and connected. | |
| 118877541 | x-intercept | The place where the graph of a relation touches or crosses the x-axis; the y-value is always 0. | |
| 118877542 | y-intercept | The place where the graph of a relation touches or crosses the y-axis; the x-value is always 0. | |
| 118877543 | Intercepts Graphing Method | One way to graph a function; find the x-intercept (set y = 0 and solve) and the y-intercept (set x = 0 and solve); plot the intercepts and connect. | |
| 118877544 | y = mx + b | The slope-intercept form of a linear equation, where m represents slope and b represents y-intercept. | |
| 118877545 | Slope-Intercept Graphing Method | Put a linear equation in slope-intercept form (y = mx + b); plot the y-intercept; use the slope ratio to find other points relative to the y-intercept (make slope a fraction - numerator is change in y (up or down), denominator is change in x (left or right))., | |
| 118877546 | slope | The ratio of change in y-value (vertical) to change in x-value (horizontal) between two points on a line. | |
| 118877547 | slope formula | Given two points (x1, y1) and (x2, y2), slope is found using the formula m = (y2 - y1)/(x2 - x1), or delta y over delta x. | |
| 118877548 | undefined slope | The slope of a vertical line (cannot be found because it would force a division by 0, undefined in mathematics) | |
| 118877549 | positive slope | The slope of a line that increases as x-values increase (points go up left to right). | |
| 118877550 | negative slope | The slope of a line that decreases as x-values increase (points go down left to right). | |
| 118877551 | zero slope | The slope of a horizontal line (the change in y-values is 0). | |
| 118877552 | constant of variation | The constant applied to input values to create the output values in a direct variation; given y = ax is a direct variation, then a is the constant of variation. | |
| 118877553 | y-intercept = 0 | One way to determine if a linear equation is a direct variation. | |
| 118877554 | f(x) notation | Function notation where f is the name of the function and x is the input; for example if f(x) = x + 2, then f(3) = 3 + 2 = 5. | |
| 118877936 | domain | The set of inputs for a relation. | |
| 118877937 | range | The set of outputs for a relation. | |
| 118949519 | x = a, a is a constant | Graph of a vertical line; for example, x = 5 is a vertical line that goes through point (5, 0); it has an undefined slope | |
| 118949520 | y = a, a is a constant | Graph of a horizontal line; for example, y = 5 is a horizontal line that goes through point (0, 5); it has a slope of 0 |
