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1.2 Linear Equations in Two VariablesWriting linear equations
How do we define Slope
Rise over Run The change of y over the change in xGiven point (x1, y1) and (x2, y2)
Find Slope through two pointsLets the points by (6, 10) and (5, -3) So the slope would be So the slope is or just 13
Slope-intercept form y = mx + bm 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
Horizontal lines and Vertical linesHorizontal line have zero slopes. Vertical line have undefined slopes. Why?
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.
What is the difference of a ratio and a rate or rate of changeRatio have the same units Rate have different units
Writing Linear Equations in 2 variablesPoint-Slope form Lets write equation using the points (580,50) and (625,47) The slope would be
Using one of the two pointsUsing the point (580, 50)
The General form a line Ax + By + C = 0A, 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.
Parallel and Perpendicular LinesParallel lines have the same slope Perpendicular line have negative reciprocal slopes
Test for Parallel or PerpendicularGiven 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
Line 1: has slope Line 2: have slope So what are the lines?
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
Homework Page 21 – 26 # 13, 25, 41, 51, 79, 89, 101, 107, 117, 123, 134
1.4 Linear Equations in Two Variables
3.7 Equations of Lines in the Coordinate Plane
Algebra II Chapter 2 section 2 Lets get linear. For a function to be linear In a table, differences between ranges the same as long as differences between.
Chapter 1. Graphs, Functions, & Models
Parallel & Perpendicular Lines
Point-Slope Form Use point-slope form to write the equation of a line. 2.Write the equation of a line parallel to a given line. 3.Write the equation.
Agenda Lesson 5-5 – Parallel and Perpendicular Lines Standards 7.0 Derive linear equations by using the point-slope formula 8.0 Understand the concept.
Writing equations given slope and point
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2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)
Slope-Intercept and Point-Slope Forms of a Linear Equation
7.2 Review of Equations of Lines; Linear Models
Write an equation in slope-intercept form: 1. Given slope -6 and y-intercept is Given slope ⅓ and passes through (2,-1) y= -6x + 9 y+1= ⅓(x – 2)
Rates of Change (Slope)
The slope of a line. We define run to be the distance we move to the right and rise to be the corresponding distance that the line rises (or falls). The.
1.3 Linear Equations in Two Variables Objectives: Write a linear equation in two variables given sufficient information. Write an equation for a line.
Section P.5 Linear Equations in Two Variables 1.Slope: can either be a ratio or a rate if the x and y axis have the same units of measures then the slope.
Copyright © Cengage Learning. All rights reserved. 1.1 Lines in the Plane.
Equations of Lines MATH 018 Combined Algebra S. Rook.
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