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.

Slides:

Advertisements

Similar presentations

Writing the Equation of a Line Using Slope-Intercept Form Chapter 5.1.

Advertisements

Gold Day – 2/18/2015 Blue Day – 2/19/2015

Objective: Use slope-intercept form and standard form to graph equations. 2.4 Quick Graphs of Linear Equations.

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

2.4 Graphing Linear Equation Sept 4, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By = C.

Write and Graph Equations of Lines

Lines with Zero Slope and Undefined Slope

Notes Over 4.3 Finding Intercepts Find the x-intercept of the graph of the equation. x-intercept y-intercept The x value when y is equal to 0. Place where.

 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.

+ Slope-Intercept Form of a Linear Equation Algebra y = mx + b.

Quick graphs using Intercepts 4.3 Objective 1 – Find the intercepts of the graph of a linear equation Objective 2 – Use intercepts to make a quick graph.

Linear Functions.

Graphing Lines Dr. Carol A. Marinas.

Warmups Determine the slope of the line passing through: (2,7) (4,-5)

Linear Equations Ax + By = C.

4.1 Introduction to Linear Equations in Two Variables

Rectangular Coordinate System

Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?

Finding the Intercepts of a Line

Slope-Intercept and Point-Slope Forms of a Linear Equation

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.

Slope-Intercept Form Page 22 10/15. Vocabulary y-Intercept: the point at which a function crosses the y-axis (0, y) x-intercept: the point at which a.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.

Graphing Linear Equations In Slope-Intercept Form.

X and Y Intercepts. Definitions Intercept – the point where something intersects or touches.

Slope-intercept form y = mx + cy = mx + c General form Ax + By + C = 0 In slope-intercept form, the When the equation of straight AC (a) How to find the.

Gold Day – 2/24/2015 Blue Day – 2/25/2015.  Unit 5 – Linear functions and Applications  Review – slope, slope intercept form  Standard Form  Finding.

Objectives Determine whether a function is linear.

Math 025 Section 7.3 Slope.

Slope-Intercept Form Linear Equations.

LINEAR EQUATIONS PART I

4.6 Slope-Intercept Form. What are the two ways we know how to graph a linear line so far? 1.) Using a t-chart, and plotting points 2.) Using x and y.

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

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.

8-3 & 8-4: Graphing Linear Functions Mr. Gallo. Graphing Linear Functions  Linear Function:  The graph of this function is a ____________ _______. 

Equations of Lines and Graphing Them Equations of Lines Vertical line x = # Horizontal line y = # Slope, y-intercept y=mx+b Standard Form Ax+By = C using.

Introduction To Slope. Slope is a measure of Steepness.

5-3 Slope Intercept Form A y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis. *Use can use the slope and y-intercept.

Chapter 8 Review.

Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:

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.

2.4 Graphing Linear Equation Sept 12, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By =

Graphing Linear Equations

Write an equation of a line by using the slope and a point on the 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.

Graphing Lines Section 4.6.

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.

FIND THE INTERCEPTS OF THE LINE 3X  4Y  24. X-INTERCEPT: THE X-COORDINATE OF THE POINT AT WHICH A LINE CROSSES THE X-AXIS Y-INTERCEPT: THE Y-COORDINATE.

2.3 Linear Functions and Slope-Intercept Form The slope of a nonvertical line is the ratio of the vertical change to the horizontal change between two.

7.3 – Writing Equations in Slope Intercept Form Objective(s): to write a linear equation in slope-intercept form given the slope and y-intercept Standard(s):

Writing Linear Equations (Slope- Intercept Form).

5)Find the slope of the line passing through the two given points. a)(-3,5) and (-3,1) b)(4, 6) and (1,6)

Introduction To Slope. Slope is a measure of Steepness.

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

Bell Ringer Rewrite from standard to slope intercept form: 1. 2x + 4y = x + 8y = 32 Learning Target: I can graph the equation of a line from the.

Remember: Slope is also expressed as rise/run. Slope Intercept Form Use this form when you know the slope and the y- intercept (where the line crosses.

Introduction to Linear Functions 3.1/3.2 And Properties of Linear Function Graphs.

Standard Form Equation of a Line Name Feb 29, 2011 Are these equations of the SAME LINE? y = x + 2 x – y = -2.

Introduction To Slope. Slope is a measure of Steepness.

Solving Systems By Graphing. Slope-Intercept Form y = mx + b m = slope b = y-intercept Slope-Intercept form for the equation of a line Slope = rise run.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.

Slope of a Line Slope Slope describes the slant or direction of a line.

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

Slope-Intercept and Standard Form of a Linear Equation.

Slope Intercept Form & Graphing

Presentation transcript:

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 where the graph crosses the x-axis. The y-intercept of a straight line is the y-coordinate of the point where the graph crosses the y-axis. x y

What is the y-intercept? b = 3 b = -4 b = -3 b = 5 b = 0

y = mx + b Slope-Intercept Form BACK y = 5x + 2

Slope is Rise over Run. The numerator tells you to go up or down Positive = Up, Negative = Down. The denominator tells you how far to run left or right. Positive = Right, Negative = Left. BACK

Up 1, Right 3. Up 2, Left 1. Down 2 Right 3 or Up 2, Left 3 BACK

Finding the slope and y-intercept State the slope and y-intercept of: y = 3x + 2 BACK

Up/Down Left/Right The slope is 3 or 3/1 which means up 3 and right 1. BACK

y = 3x + 2 Slope = 3/1 y-intercept= 2 Up 3 and Right 1 BACK

When am I ever going to use this?

y = -2x + 3 Slope = -2/1 y-intercept= 3 Down 2 and Right 1 BACK

y = 3x -2 You try this one BACK

y = 3x -2 BACK

Changing equations to the form y = mx + b When equations are in the form ax + by = c, then you need to change them to y = mx + b BACK

Changing equations to the form y = mx + b BACK

2x + 4y = 8 changed to y = -1/2x + 2 y-intercept= 2 Slope = -1/2 Down 1 Right 2 BACK

Now you change 2x + 3y = 6 to y = mx + b BACK

2x + 3y = 6 changed to y = -2/3x + 2 BACK

Parallel Lines Same or different The equations of two parallel lines have the same slope, but two different y-intercepts.

y = 3x + 4 and y = 3x - 2 y = 3x + 4 y = 3x -2 BACK

What if there is no constant? If you have a problem like: y = 3x You can add a zero, “+ 0”, to the equation without changing the value. BACK

Hints If y = x + 3,the coefficient of x is 1, so the slope is 1/1. If you do not have room to graph a slope of 2/1 you can use the equivalent fraction -2/-1 BACK

Slope Intercept Form & Graphing BACK