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**1.2 Linear Equations in Two Variables**

Writing linear equations

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How do we define Slope

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**Rise over Run The change of y over the change in x**

Given point (x1, y1) and (x2, y2)

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**Find Slope through two points**

Lets the points by (6, 10) and (5, -3) So the slope would be So the slope is or just 13

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**Slope-intercept form y = mx + b**

m is for slope; b is the y intercept We do we use m for Slope and b for the intercept? What is the slope of

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**Horizontal lines and Vertical lines**

Horizontal line have zero slopes. Vertical line have undefined slopes. Why?

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m = When (y1) – (y2) = 0, there is no rise in the line. The fraction would equal zero When (x1) – (x2) = 0, it makes the fraction undefined. The dominator of a fraction can near be zero.

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**What is the difference of a ratio and a rate or rate of change**

Ratio have the same units Rate have different units

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**Writing Linear Equations in 2 variables**

Point-Slope form Lets write equation using the points (580,50) and (625,47) The slope would be

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**Using one of the two points**

Using the point (580, 50)

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**The General form a line Ax + By + C = 0**

A, B and C are not all zero or fractions Multiply both sides by 15 to get rid of fractions, then add x and subtract 580.

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**Parallel and Perpendicular Lines**

Parallel lines have the same slope Perpendicular line have negative reciprocal slopes

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**Test for Parallel or Perpendicular**

Given 2 lines with sets of points Line1: (0,8) and (4, 5) Line 2: (6, 10) and (0, 2) Find the slopes of each line

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Line 1: has slope Line 2: have slope So what are the lines?

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Homework Pages 21-24 # 2,8,12,16,22,26,30,34,38,40,46,48,52,56, 60,64,68,72,76,80,84,88

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Homework Page 21 – 26 # 13, 25, 41, 51, 79, 89, 101, 107, 117, 123, 134

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