Standard and Slope-Intercept Form

Slides:

Advertisements

Similar presentations

2.4 Writing the Equation of a Line

Advertisements

2.2 Linear Equations.

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Graphing Linear Equations In Slope-Intercept Form.

Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.

WRITING EQUATIONS IN SLOPE-INTERCEPT FORM Standard Form Review.

Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept.

Analyzing Data using Line Graphs Slope & Equation of a Line.

Graphing Lines Section 4.6.

There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.

SLOPE INTERCEPT FORM Y = MX +B SLOPE INTERCEPT FORM WHAT IS THE SLOPE INTERCEPT FORM? Y = MX +B a) M STANDS FOR THE SLOPE (RISE OVER RUN) b) B STANDS.

Writing equations given 2 points on the line. Write the equation of the line that goes through the points (1, 6) and (3, -4) m = y₂ - y₁ x₂ - x₁ -4 -

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

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

Point-Slope Form Linear Equations in Two Variables.

Writing the equation of a line

Graphing and Writing Equations of Lines (2-4)

Linear Equations Chapter 5.

Introduction To Slope.

Writing Linear Equations

Slope-Intercept and Standard Form of a Linear Equation.

Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 2 –4

Standard form and Point-slope form of linear equations

You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope.

Converting between Standard form and Slope-Intercept form

Review of Slope LESSON 10.

Unit 5 Writing the Equation of a Line

Introduction To Slope.

Writing Equations From Graphs

Linear Equations Objectives: Find slope of a line

Write an Equation in Slope-Intercept Form

2.4 Writing the Equation of a Line

Objectives Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.

Identifying Graphs of Linear Equations

2.4 Linear Functions: Graphs and Slope

SLOPE = = = The SLOPE of a line is There are four types of slopes

Chapter 6 Section 2 Graphing Linear Equations and Inequalities in Two Variables Using Alterative Methods.

2.4 Writing the Equation of a Line

8/29/12 Writing the Equation of a Line

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Slope Intercept Form Graphing the easy way 2/19/

Writing Linear Equations Given Two Points

Forms of a linear equation

Example 1A: Graphing by Using Slope and y-intercept

You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope.

Objectives Graph a line using slope-intercept form.

Functions in the Coordinate Plane

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

2.2: Graphing a linear equation

Find the y-intercept and slope

Linear Functions The output of function “f” when x is used as the input Independent Variable Slope: the difference in “f” for consecutive values of x y-intercept:

Graphing Functions x f(x) = 2x (2) + 7 = (3) + 7 = 13 4

11.2 Slope: y-intercept: 5.

Introduction To Slope.

Module 11-3 Objectives Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.

Introduction To Slope.

Bellwork Can you name some types of companies that might use linear graphs to assist with their companies success?

Objectives: To graph lines using the slope-intercept equation

2.4 Writing the Equation of a Line

4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.

y = mx + b Lesson 8.7 Page 439 Lesson 8.6 Page 398

Introduction To Slope.

Introduction To Slope.

Graphing using Slope-Intercept Form

Presentation transcript:

Standard and Slope-Intercept Form Standard Form: ax + by = c Both variables go on one side, and the constant goes on the other. Slope-Intercept Form: y = mx + b The equation is solved for y. (This form makes it easy to see the slope and y-intercept.) y = mx + b slope y-intercept

Graphing Slope Intercept Form y = 2/3 * x + 1 Graph the y-intercept.

Graphing Slope Intercept Form y = 2/3 * x + 1 Graph the y-intercept. Use the slope to count the “rise” and “run” to get the next point.

Graphing Slope Intercept Form y = 2/3 * x + 1 Graph the y-intercept. Use the slope to count the “rise” and “run” to get the next point. Draw the line connecting the two points.

Graphing Standard Form Intercept Way– set x = 0, then set y = 0 4x + 3y = 12 Set x = 0, then solve for the corresponding y value. Graph the point. x y 4

Graphing Standard Form Intercept Way– set x = 0, then set y = 0 4x + 3y = 12 Set x = 0, then solve for the corresponding y value. Graph the point. Set y = 0, then solve for the corresponding x value. Graph the point. x y 4 3

Graphing Standard Form Intercept Way– set x = 0, then set y = 0 4x + 3y = 12 Set x = 0, then solve for the corresponding y value. Graph the point. Set y = 0, then solve for the corresponding x value. Graph the point. Draw the line connecting the two points. x y 4 3

Graphing Standard Form Slope Intercept Way– solve the formula for y to change it into slope intercept form 2x – 3y = 12

Graphing Standard Form Slope Intercept Way– solve the formula for y to change it into slope intercept form 2x – 3y = 12 -2x -2x

Graphing Standard Form Slope Intercept Way– solve the formula for y to change it into slope intercept form 2x – 3y = 12 -2x -2x -3y = -2x + 12

Graphing Standard Form Slope Intercept Way– solve the formula for y to change it into slope intercept form 2x – 3y = 12 -2x -2x -3y = -2x + 12 -3 -3 -3

Graphing Standard Form Slope Intercept Way– solve the formula for y to change it into slope intercept form 2x – 3y = 12 -2x -2x -3y = -2x + 12 -3 -3 -3 y = -2/-3 * x – 4 y = 2/3 * x – 4 Now graph the line like usual.

Practice Graph the line by first converting to slope-intercept form. 4x + 2y = 8

Practice Graph the line using the x- and y-intercept method. 2x – 3y = 6