8.3 Slope And Y Intercept

Chapter 8 Section 3 Slope and Y-Intercept February 9 th , 2009 I suggest you write EVERY THING down in your notes.

Warm Up ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Slope ,[object Object],[object Object],[object Object],[object Object]

Slope ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Find the Slope of Each Line ,[object Object],Rise: 2 Run: 4 Rise: -3 Run: 2 Ratio is 2 / 4 Ratio is -3 / 2 We’re reading from left to right. So start at the left most point and then figure out how to get to the next point.

If You Know Two Points: ,[object Object],[object Object],[object Object],[object Object]

Find the slope of the line through C( -2, 6 ) and D( 4, 3 ). ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Find the Slope of the Line through each pair of points: ,[object Object],[object Object],3/4: Rise = 3, Run = 4 -1 or (1/-1): Rise = 1, Run = -1

X = ? And Y = ?, Are Special. ,[object Object],This is a horizontal line. The points are (-3, 2) and (1, 2). Therefore, Y = 2. Find the slope. Slope = (2 – 2) / (1 – (-3) = 0 /4 = 0 The slope for a horizontal line (or anything Y = ?) is zero.

X = ? And Y = ?, Are Special. ,[object Object],This is a vertical line. The points are (-4, 1) and (-4, 3). Therefore, X = -4. Find the slope. Slope = (1 – 3) / (-4 – (-4) = -2 /0 = Undefined Division by zero is undefined. (Zero as the denominator). Slope is, therefore, UNDEFINED for vertical lines .

Word Problem ,[object Object],[object Object],[object Object]

Using Slope to Graph Linear Equations ,[object Object],[object Object],[object Object],[object Object]

Using Slope to Graph Linear Equations ,[object Object],[object Object],y = (-1/2) x + 3 Slope = always a ratio Y-Intercept = Constant

Slope-Intercept Form ,[object Object],[object Object],[object Object],[object Object],[object Object]

To Graph with y = mx + b ,[object Object],[object Object],[object Object],[object Object]

Lets Graph Together! ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Assignment #3 ,[object Object]

8.3 Slope And Y Intercept

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8.3 Slope And Y Intercept