front 1 constant of proportionality | back 1 The constant ratio between two quantities is also called as constant of proportionality i.e. if x is proportional (directly) to y, then k = . There are times when you will need to find the constant in an equation. |
front 2 constant of variation | back 2 The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. Example 1: If y varies directly as x and y = 15 when x = 24, find x when y = 25. The constant of variation in an indirect variation is the constant (unchanged) product between two variable quantities. |
front 3 constant rate of change | back 3 For straight lines, the rate of change (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis. This is true at any location on the line. |
front 4 direct variation | back 4 1 : mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. 2 : an equation or function expressing direct variation |
front 5 linear relationships | back 5 Linear relationships can be expressed in a graphical format where the variable and the constant are connected via a straight line or in a mathematical format where the independent variable is multiplied by the slope coefficient, added by a constant, which determines the dependent variable. |
front 6 point slope form | back 6 Point slope form is the quickest method for finding the equation of line given two points |
front 7 rise | back 7 A measerment of the movement of the y axis |
front 8 run | back 8 A measurement of the movement of the x axis |
front 9 slope | back 9 In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is often denoted by the letter m. The direction of a line is either increasing, decreasing, horizontal or vertical. A line is increasing if it goes up from left to right. |
front 10 slope intercept form | back 10 The slope-intercept form is simply the way of writing the equation of a line so that the slope(steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called ' y = mx + b'form. |
front 11 standard form | back 11 Standard form is a way of writing down very large or very small numbers easily. |
front 12 substitution | back 12 The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. |
front 13 systems of eqations | back 13 A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. |
front 14 x intercept | back 14 where the graph crosses the x axis |
front 15 y intercept | back 15 where the graph crosses the y axis |