DMS Algebra 1: Ch 4
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19 terms
Terms | Definitions |
|---|---|
Quadrant | the 4 regions into which the coordinate plane is divided by the x-axis & y-axis. |
Quadrant I | (+,+) the quadrant in which both the x & y coordinates are positive. |
Quadrant II | (-,+) the quadrant in which the x-coordinate is negative & y-coordinate is positive. |
Quadrant III | (-,-) the quadrant in which both the x & y coordinates are negative. |
Quadrant IV | (+,-) the quadrant in which the x-coordinate is positive & the y-coordinate is negative. |
Linear Equation | An equation whose graph is a line. |
Ax+By=C | standard form of a linear equation; where A, B, & C are real numbers, and A & B are not both zero. |
Linear Function | Ax+By=C, provided B≠0 (B is not equal to zero). |
x-intercept | the x-coordinate of a point where a graph crosses the x-axis. |
y-intercept | the y-coordinate of a point where a graph crosses the y-axis. |
Slope | the ratio of the vertical change (rise) to the horizontal change (run); rise over run; (y2-y1) ÷ (x2-x1) |
Rate of Change | A comparison of a change in one quantity with another quantity; slope. |
y=mx+b | Slope-Intercept Form. |
Parallel | Two lines in the same plane that do not intersect. |
Direct Variation | y=ax; given that a is a non-zero number; y is said to vary directly with x. |
Constant of Variation | the non-zero constant 'a' in a direct variation equation 'y=ax'. |
Function Notation | f(x)=mx+b; f(x)=y; read as "the value of f at x" or "f of x". |
Family of Functions | a group of functions with similar characteristics. |
Parent Linear Function | f(x)=x; the most basic function form; all functions are built off of this. |
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