Parallel Lines and Slope

Slides:

Advertisements

Similar presentations

EXAMPLE 1 Write an equation of a line from a graph

Advertisements

Write an equation given the slope and a point

Algebraically Finiding an Equation of a Line with a Point and Slope.

Perpendicular Lines and Slope

Warm-upWarm-up 1. Write the equation of a line given m = 1/4 and thru the point (12,-6). 2. Write the equation of a line thru these two points. A(6,15)

Question: Find the equation of a line that is parallel to the equation: 3x + 2y = 18.

1/4/2009 Algebra 2 (DM) Chapter 7 Solving Systems of Equations by graphing using slope- intercept method.

Algebra 1A Final Exam Review NAME: _____________________________ DATE: _______________ HOUR: __________.

1-1MONTUEWEDTHUFRI 1-2MONTUEWEDTHUFRI 1-3MONTUEWEDTHUFRI 1-4MONTUEWEDTHUFRI 1-5MONTUEWEDTHUFRI 1-6MONTUEWEDTHUFRI 1-7MONTUEWEDTHUFRI 1-8MONTUEWEDTHUFRI.

EXAMPLE 1 Write an equation of a line from a graph

Warm Up Identify the slope and y-intercept 1. -3x + 5y = 9 Graph the equation x + 4y = x + 7y = 7.

Writing equations given a point and the slope of a line

WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages

Writing Equations of Lines

Graphing Lines. Slope – Intercept Form Graph y = 2x + 3.

2.4 Lines. Slope Find the slope of the line passing through the given points.

2.4 “Writing Linear Equations” ***When writing equations of lines, substitute values for: y = mx + b Given: 1.Slope and y-intercept m = -3 b = 5 Step:

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

. 5.1 write linear equation in slope intercept form..5.2 use linear equations in slope –intercept form..5.3 write linear equation in point slope form..5.4.

Section P.2 – Linear Models and Rates of Change. Slope Formula The slope of the line through the points (x 1, y 1 ) and (x 2, y 2 ) is given by:

By Carol Nicholson  When we have two lines on the same plane:

Solving Systems of Equations

ACC ALGEBRA MIDTERM REVIEW. QUESTION #1- SOLVE QUESTION #2- SOLVE.

Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.

Parallel and Perpendicular. 1. What is the slope of y = 3? a. 3 b. 0 c. Undefined d

Objective The student will be able to: solve systems of equations by graphing.

Algebra 1 Section 5.3 Write the equation of a line given 2 points on the line Write the equation of the line that passes through the points (7,4) and (3,12)

3.6 Finding the Equation of a Line

Classifying Systems, Solving Systems by Graphing and Substitution

Since all points on the x-axis have a y-coordinate of 0, to find x-intercept, let y = 0 and solve for x Since all points on the y-axis have an x-coordinate.

Slope Intercept form. Geometry Unit 2-3, 2-4 Equations of lines Parallel and perpendicular slopes.

Slope Intercept Form Algebra

Objectives Graph lines and write their equations in slope-intercept form. Classify lines as parallel, intersecting, or coinciding.

#2 Review of Writing Linear Equation

Linear Equations in two variables

Notes Over 4.7 Solving an Equation Graphically

Chapter 1: Lesson 1.3 Slope-Intercept Form of a Line

Day 7 – Parallel and Perpendicular lines

Writing Linear Equations When Given a Point and the Slope

Systems of Equations Solving by Graphing.

Writing Equations of Lines

Writing Linear Equations Given Two Points

SLOPE OF A LINE.

Solve Systems of Equations

3-5 & 3-6 Lines in the Coordinate Plane & Slopes of Parallel and Perpendicular Lines.

Forms of Equations Intercepts Parallel & Perpendicular Linear Graphs

Writing the Equation of a Line

Systems of Equations Solving by Graphing.

6-1 Solving Systems by Graphing

Write the equation for the following slope and y-intercept:

EXAMPLE 1 Write an equation of a line from a graph

Geometry Section 3.5.

PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane

Classification of lines: 1. Parallel and Distinct

Given m and (x, y) Substitute point for x and y; substitute m for slope; solve for b. Given (x1, y1) and (x2, y2) Find slope; substitute one point for.

Warm up Write an equation given the following information.

Possible Intersection of Straight Lines

Algebra 1 Section 7.5.

5.4 Finding Linear Equations

Equations of Lines.

Objectives Graph lines and write their equations in slope-intercept form. Classify lines as parallel, intersecting, or coinciding.

6-6 Parallel and Perpendicular Lines

PERPENDICULAR LINES.

Parallel and Perpendicular Lines

Objectives: To graph lines using the slope-intercept equation

WARM UP Find the equation of the line that passes through (3, 4), (6,8)? Find the slope of the line that passes through (-4,-8), (12,16)? Find the equation.

Chapter 4 Review.

Slope Intercept Form Algebra 1 Unit 4 Lesson 2.

Linear Systems of Equations

Solving Linear Systems by Graphing

Presentation transcript:

Parallel Lines and Slope

Parallel Lines equal. ... The slopes of parallel lines are Example: The rate of change of parallel lines is the same.

Note: The y-intercepts Normally are Not the Same 99.9% of the time, if two lines are parallel or perpendicular, they will NOT have the same y-intercept. (In fact, only RARELY do perpendicular lines share a y-intercept. If lines with the same slope have the same y-intercept, the lines coincide and are not parallel.)

Example: Parallel Lines Algebraically find the equation of the line that goes through the point (16,4) and is parallel to 3x + 4y = 8. Find the Slope Find the y-intercept. Use Slope-Intercept Form: The slope is -3/4 A point on the graph is x=16 and y=4 The equation now has one distinct variable. Solve it. Since Parallel Lines have the same slope, our new equation also has slope -3/4. (This y-intercept does not matter) Substitute back into Slope-Intercept Form: