LINEAR EQUATIONS FOLDABLE

To make your foldable: 1. Stack four or five sheets of colored paper together, placing each consecutive sheet around ¾ of an inch higher than the sheet in front of it.

2. Fold your stack of papers making your edges of all the layers the dame distance apart (3/4 in). Align the sides.

3. Once you have all the tabs equal distance, and the sides are aligned, fold the stack and crease the fold well.

4. Staple, or glue, the pages together at the crease to create your booklet. HINT 1: Don’t use too much glue. This will cause your pages to stick together. HINT 2: Staple the crease if possible.

Linear Equations: Reference Guide Title Page Put a title on the top tab. A possible title could be: Linear Equations: Reference Guide By (Your Name) **Don’t write YOUR NAME

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. Definitions 6. Finding slope: Table 2. Slope 7. Graph a Line: Two points 3. Point-slope form 8. Writing the equation of a line 4. Slope-intercept form Solving for x and y intercepts

Definitions Linear Equation – Any equation whose graph is a line Coordinate Pair – A location given in (x,y) format Function – Every x value has one y value y-intercept – Point where x = 0 - The point where the line crosses the y axis Rate of Change – The change between two points.

Slope A ratio (fraction) that describes the tilt of a line. Example: Two points (0,6) and (1,4)

Point-slope form x & y are coordinates on the line y1 & x1 are coordinates of the given point. m is the slope Example: Given two points (0, 6) and (1,4) Slope = (4-6) /(1-0)= -2 So, slope intercept form is y-6=-2(x-0)

Slope-intercept form x & y are coordinates on the line m is the slope of the line b is the y-intercept Example: m=-2 y-intercept = 6 S0 slope-intercept form is y=-2x+6

Solving for x and y intercepts 2x +y=6 x-intercept- make y=0 2x+0=6 divide both sides by 2 x=3 so x intercept is (3,0) y-intercept 2(0) +y=6 y=6 so y-intercept is (0,6)

Slope=rate of change x y 6 1 4 3 -2 -2 +1 -4 +2 +1 -2 6 1 4 3 -2 -2 +1 +2 -4 +1 -2 Find the change in consecutive pairs. 2. Write the changes as a slope. 3. If the changes are the same, this is the slope and this is the rate of change Slope = -2/1 or -2

Writing the Equation of a Line 1. Find the slope for the line. 2. Find the y-intercept 3. Write the equation in slope-intercept form.

Graph the line