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1.2 Linear Equations in Two Variables

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Presentation on theme: "1.2 Linear Equations in Two Variables"— Presentation transcript:

1 1.2 Linear Equations in Two Variables
Writing linear equations

2 How do we define Slope

3 Rise over Run The change of y over the change in x
Given point (x1, y1) and (x2, y2)

4 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

5 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

6 Horizontal lines and Vertical lines
Horizontal line have zero slopes. Vertical line have undefined slopes. Why?

7 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.

8 What is the difference of a ratio and a rate or rate of change
Ratio have the same units Rate have different units

9 Writing Linear Equations in 2 variables
Point-Slope form Lets write equation using the points (580,50) and (625,47) The slope would be

10 Using one of the two points
Using the point (580, 50)

11 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.

12 Parallel and Perpendicular Lines
Parallel lines have the same slope Perpendicular line have negative reciprocal slopes

13 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

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

15 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

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

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