06.13.2018 Linear Equations https://www.youtube.com/watch?v=75m60SxFfJg https://www.youtube.com/watch?v=9MPUSWUya YU

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 same 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.

HINT 1: Don’t use too much glue. 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.

Title Page Put a title on the top tab. ( Linear Equations) By (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 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 Step 1: Put the equation in Slope Intercept Form. Step 2: Graph the y-intercept point (the number in the b position) on the y-axis. ... Step 3: From the point plotted on the y-axis, use the slope to find your second point. ... Step 4: Draw your line using the two points you plotted (y-intercept (b) first, slope (m) second.

Solving for the x and Y Intercepts https://1.cdn.edl.io/3jz1UWx0J8KZMa4y6pUDXn3TB rYz4YJPoG8hLx2SUpPBMTO0.pdf

Reference https://www.abss.k12.nc.us/.../filedownload.ashx? ...Foldable%20for%20linear%20equ...