Chapter+5

=**5.1**= How fast line goes up or down Rise Over (divided by) Run Determined by x and y Slope can be positive (Arrow goes up) Slope can be negative (Arrow goes down) Slope can be zero (0) (Arrow goes horizontal) Slope can be undefiened (Arrow goes vertical)
 * Goal:** Find the slope of a line - Use rate of change to solve problems
 * Notes:** The ratio of the y coordinate to the corresponding x

Rate of change: Tells on average how a quantiy change over time Change in quanity - Over (divided by) Change in time

= Formula for Slope = Y2-Y1 --- = Slope X2-X1


 * || Everyday Defintion || Math Definition ||
 * Expression || A problem or phrase you have to solve || a variable, function, or some combination of constants, variables, or functions . ||
 * Function || When only one part fo the domian is paired with only one part of the range. || A relation between two sets in which one element of the second set is assigned to each element of the first set. ||
 * Slope || How steep a line is on a graph. || (of a line ) the tangent of the angle between the line and another line parallel to the // x- // axis ||
 * Intercept || Where a line goes over an axis. || (in a coordinate system) the distance from the origin to the point at which a curve or line intersects an axis. ||
 * Parrallel || Never touching always staying the same distance apart. || (of straight lines) lying in the same plane but never meeting no matter how far extended. ||

=**5.2**= Direct Variation: When 2 variables are related so the ratio of the values is always the same. y = kx x is always multiplied by the same. Number (k) to get the y-value k = m = slope Direct variation equation will always go through origin becuase nothing is getting added or subtracted. y varies derictly with x. Bigger Number you multiply the steeper the slope If the slope is not the same the lines will intersect somewher y = kx || If slope is oppisite interpilacitve inverse, they will be perpindicular =**5.4**= Goal: Write and eqaution of a lien given the slope and one point on a line. y = mx + b 1. Plugin what we know 2. Solve for b 3. Rewrite equation substitute only m and b
 * Goal: Write and graph direct variation**
 * Words || Defintion ||
 * Direct Variation || y varies directly with x
 * Constant of Variation || how much our y varies ||
 * Family of graphs || Graphs that are related ||
 * Parent Graph || The lead, most basic graph ||
 * Words || Defintion ||
 * Linear Extrapolation || Making predictions on what might come. ||
 * Absolute Value Function || When you have how far away the number is from 0, doesnt matter if it's negative or positive. ||
 * Classes of Functions || Just like families of graph. ||