Journal Entry Equation of a Line May 1, 2014. Slope Slope is a measure of the steepness of a line. Slope is calculated as. Remember rise is the vertical.

Slides:

Advertisements

Similar presentations

Think, Think, Think. Algebra I Seminar. How Much Do you Remember? The Coordinate Plane X-axis, Y-axis Slope Y-intercept Ordered Pairs Slope Intercept.

Advertisements

Goal: Use slope-intercept form and standard form to graph equations.

Lines with Zero Slope and Undefined Slope

Objective To be able to recognize Horizontal and Vertical lines on the coordinate plane.

~ Chapter 6 ~ Algebra I Algebra I Solving Equations

Slope and Rate of Change Equations of Lines

2.1 Lines and Slopes. Example 1: Find the Slope Possibilities for a Line’s Slope.

Slope Intercept Form & Graphing Definition - Intercepts x-intercept y-intercept BACK The x-intercept of a straight line is the x-coordinate of the point.

4.6 Slope Intercept Form And Parallel Lines

4.1 Introduction to Linear Equations in Two Variables

Rectangular Coordinate System

Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)

Bell Work Solve for “y” 1.) 3x – 2y = -8 2.) 5x – y + 12 = 3x ) 3x – 4y = -7y – 12.

Writing equations in slope intercept form

Coordinates and Linear Equations Miss Hudson’s Maths.

3.1 – Paired Data and The Rectangular Coordinate System

C H 5: L INEAR F UNCTIONS 1 ST L ESSON : 3 W AY TO G RAPH L INEAR E QUATIONS Objectives: Understand what a linear function is. Graph a linear function.

3.2 Graphing Functions and Relations

It’s What’s Going On!. Recall y = mx + b is the equation of a line m is the value of the slope of a line (rise over run) b is the y-intercept m = 1 __.

Slope and Rate of Change

Graphing Linear Equations. Linear Equation An equation for which the graph is a line.

2.7 – Absolute Value Inequalities To solve an absolute value inequality, treat it as an equation. Create two inequalities, where the expression in the.

PRE-ALGEBRA. Lesson 8-3 Warm-Up PRE-ALGEBRA What is “rate of change” How can you find the “rate of change”? rate of change: a unit rate that tells how.

1 What you will learn today 1. Review of slope 2. How to determine slope 3. How to graph a linear equation in y = mx + b form 4. Slopes of parallel and.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.2 Linear Functions and Their Graphs.

Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.

Sullivan Algebra and Trigonometry: Section 2.3 Lines Objectives Calculate and Interpret the Slope of a Line Graph Lines Given a Point and the Slope Use.

Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.

3-7 Equations of Lines in the Coordinate Plane

Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.

Graphing Linear Equations

PARALLEL LINES Linear Equations. I can find the equation of a line parallel to a given line passing through a given point. Essential Question: Do you.

SLOPE. What does slope measure? Slope measures the steepness of a line.

Equation of a line.

1.2 Slopes and Intercepts Objectives: Graph a linear equation. Write a linear equation for a given line in the coordinate plane. Standards: K Apply.

03.03 SKM & PP 1 Slope SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The.

Slope-Intercept Form Graphing Unit Foundations of Algebra.

Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.

MTH 091 Section 13.3 Graphing with x- and y-intercepts Section 13.4 Slope.

Warm Up 1. 4x + 2y = x + 2 = 6y Solve each equation for y. y = –2x Find the slope of the line that contains (5, 3) and (–1, 4). 4. Find the.

12/7/2015Math KM1 Chapter Cartesian Coordinates Linear Functions: Graphs and Slope More on Graphing Linear Equations 3.4 Finding.

LIAL HORNSBY SCHNEIDER

Slope (Finding it from a graph.). Key Idea : Slope of a line is a ratio of change in y (the rise) to the change in x (the run) between any two points.

The Slope of a Line. Finding the Change with Growth Triangles What is the growth factor for this line? Change in y direction Change in x direction.

Graphing Equations Slope Intercept form and Point Slope form.

Graphing Lines Objectives Find the slope of a line

Write Equations of Parallel and Perpendicular Lines

Lesson 3-4: Graphs of Linear Equations Objective: Students will: recognize linear equations graph linear equations graph horizontal and vertical lines.

The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.

Presentation Index Graphing Equations of Lines QUIZ: Graphing Equations of Lines.

2.4 More about Linear Equations

1 Review Linear relationships. 2 Let’s investigate the relationship between x and y denoted by y = -2x – 2. We’ll complete the table and graph it. xy.

Slope - Intercept Form. Slope - Intercept Form – an equation written in this form y=mx+b m = slope b = y - intercept y – intercept – the point on a graph.

Review Linear Equations and Graphs. Linear Equations in Two Variables A linear equation in two variables is an equation that can be written in the standard.

Integrated Mathematics. Objectives The student will be able to:: 1. graph linear equations. 2. write equations in point- slope form.

Graphing Lines Using Slope Intercept Form Algebra 1 Glencoe McGraw-HillLinda Stamper.

4-1 Part 2 Putting Equations in Slope-Intercept Form Notes #_____ ____/____/____.

Slope intercept form.  The slope intercept form of a line is:  y = m x + b.

Distance On a coordinate plane Finding the length of a line segment.

Slope Slope is the steepness of a straight line..

Equations of Lines in the Coordinate Plane

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

Monday, October 18 Slope of a Line

Unit 5 Lesson 1 Objective:

Equations and Inequalities in 2 Variables; Functions

Equations and Inequalities in 2 Variables; Functions

Presentation transcript:

Journal Entry Equation of a Line May 1, 2014

Slope Slope is a measure of the steepness of a line. Slope is calculated as. Remember rise is the vertical change (change in y) and run is the horizontal change (change in x). The slope of this line would be:

Important Points about Slope A positive slope means that the line slopes upward, from left to right. It is increasing. A negative slopes means that the lines slopes downward, from left to right. It is decreasing. If I choose many different points on the same line, the slope connecting any two of the points will ALWAYS be the same. If two different lines have the same slope, they are parallel.

Y-intercept The y-intercept is the y-coordinate of the point where a line crosses the y-axis. The y-intercept of this line is 1.

Important Points about the Y-intercept. When many different lines have the same y- intercept, they will all cross at this point. It is called the intersection point of the lines.

Equation of a line Remember that m is the slope and b is the y- intercept!!

Graphing a line from the equation Remember any equation will be in the form of y=mx+b and m is always slope and b is always the y-intercept. First I plot the y-intercept (the point on the y-axis), then I apply the slope (the rise and the run). Example: Graph y= 2x + 4 SO m = 2 b=4

Finding the equation of a line Now I have to read the values of the graph. Find the y-intercept (point that the line crosses the y-axis), this is the b. Then I find the slope (calculate the rise and the run), this is m. Now I just write the equation (y=mx+b).

Horizontal Line Any horizontal line will have a slope of zero. The equation of the line will be y=b (or y = y- intercept).

Vertical Line Any vertical line will have no y-intercept (it doesn’t cross the y-axis) and the slope will be undefined. Since there is no slope or y-intercept I can’t use y=mx+b. The equation of the line will be x=x-intercept (point where line crosses the x-axis.