LINEAR EQUATIONS FOLDABLE

Title Page Put a title on the top tab. Unit 2: Linear Equations and Their Graphs Put your name in one corner of this layer

Tabs The following are a list of the names for each of the tabs. Write these on the tabs so that you can find the information you need quickly. 1.Title Page 2.Vocabulary 3.Slope 4.Slope-intercept form 5.Standard form 6.Point-Slope Form 7.Graph a line given two points 8.Horizontal & Vertical Lines 9.Parallel & Perpendicular Lines 10.Writing Equations of Lines

The next slides have information that you can choose to put in your reference guide. You may choose to have any, all, or none of the information included. I put the tab name at the top of the slide

Vocabulary X-axis – axis in coordinate plane that goes left to right (“ x goes “a-cross” “) Y-axis – axis in coordinate plane that goes up and down (“y to the sky”) Ordered Pair – A location given in (x,y) format Rate of Change – The ratio of the dependent change (change in y’s) over the independent change (change in x’s) between two points of data Slope – The ratio of the vertical change (difference of y’s) over the horizontal change (difference of x’s) between two points of a line Linear Equation – Any equation whose graph is a line Function – Every x value has one unique y value y-intercept – point where the line crosses the y axis (b in the slope-intercept form of linear eq) x-intercept – point where the line crosses the x axis Horizontal line: line that goes across, has a constant y value Vertical line: line that goes up and down, has a constant x value

Slope The ratio of the vertical change (difference of y’s) over the horizontal change (difference of x’s) between two points of a line. Labeling: (Think bicyclist!) Positive Slope: Negative Slope: Zero Slope: Undefined Slope: Slope from a Table: xy Use two points and apply slope equation above: Using (1,6) and (3,10) m = 10 – 6= 4 = 2 3 – 1 2

Point-slope form x & y are part of the equation y 1 & x 1 are coordinates of the given point. m is the slope Example: (1,1) (-1,-3) m = -3 – 1 = -4 = 2 -1 – 1 -2 y– 1 = 2 (x – 1)

Slope-intercept form x & y are parts of the equation m is the slope of the line b is the y-intercept

Standard Form Where A, B, and C are real numbers, and A and B are not BOTH zero. No fractions or decimals allowed if directions state to use standard form with integers. Can find the x- and y-intercepts easily by setting x or y equal to zero (find point (0,y) and (x,0))

Graph a Line: Two Points 1.Plot both points, then connect the dots Find the equation of a line that passes through the points (6, -4) and (-3, 5).

Parallel & Perpendicular Lines Parallel lines have the SAME SLOPE, but different y-intercepts. - Do not intersect Perpendicular lines have slopes that are OPPOSITE RECIPROCALS of each other. -Intersect at a 90 o angle

Writing the Equation of a Line Use the “How to Write the Equation of a Line” graphical organizer. Fold that graphical organizer in half vertically. Glue one side down into the foldable so that the graphical organizer can fold out when the foldable is opened to that section.