Practice converting linear equations into Slope-Intercept Form

Slides:

Advertisements

Similar presentations

Lines, Lines, Lines!!! ~ Slope-Intercept Form

Advertisements

WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.

Lesson 5.1 Write Equations in Slope-Intercept Form.

Practice converting linear equations into Slope- Intercept Form It’s easier than you think…

Slope Intercept Form.

4.7 Graphing Lines Using Slope Intercept Form

Slope Intercept Form. Slope Intercept Form of an equation gives you a quick way to graph an equation.

Preview Warm Up California Standards Lesson Presentation.

Writing linear equations in Slope-Intercept Form It’s easier than you think…

Warm Up Find the slope of the line containing each pair of points.

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

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

Lesson 5.6 Point-Slope Form of the Equation of a Line.

Similar Triangles & Slope In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts.

The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.

Warm ups What is the slope of the line that passes through (–4, 8) and (5, 2)? Suppose y varies directly as x and y = –5 when x = 10. Which is a direct.

EXAMPLE 3 Write an equation of a line given two points

SWBAT… Write and graph lines in slope-intercept form Mon, 11/14 Agenda 1.WU (10 min) 2.Video on graphing (5 min) 3.Graphing lines (10 min) 4.Writing equations.

Aim: Converting linear equations into Slope- Intercept Form Do Now: 1) Define Slope 2) Define y-intercept It’s easier than you think…

Lesson 6-3 Standard Form of a Linear Equation

Slope-Intercept Form Linear Equations.

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.

Writing the Equation of a Line

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

Lesson 5.6 Point-Slope Form of the Equation of a Line.

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.

Do Now 1. Solve the equation 2. Find the x-intercept and the y-intercept of the equation +4x 2 + 5x = x = x = -2 5x + (0) = 25 5x = 25 x.

Warm-up Presentation Lesson Quiz

SWBAT… Write lines in slope-intercept form Mon, 11/28 Agenda 1.WU (10 min) 2.Slope quiz review (5 min) 3.5 Practice problems - slope-intercept form (20.

Equations of Lines Given Two Points In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection.

Practice converting linear equations into Slope-Intercept Form

Slope-Intercept Form Word Problems In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other.

SWBAT… Write lines in slope-intercept form Wed, 2/20/10

SWBAT… Write lines in slope-intercept form Tues, 1/19/10 Agenda 1.WU (5 min) 2.Graphing Calculator Activity (30 min) 3.Discussion (15 min) 4.Exit slip.

Graph with Slopes & y-Intercepts

Drill #63 Write a direct variation equation that relates x to y. Assume that y varies directly as x. Then solve. 1. If y = 8 when x = 2, find x when y.

The Slope of a Line In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.

Do Now Write the slope-intercept equation of this line.

Write an Equation in Slope-Intercept Form In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.

Writing Linear Equations (Slope- Intercept Form).

Understand linear equations and its types. Form the linear equations involving slopes of different situations. Students and Teachers will be able to.

Example 2 Graphing Using Slope-Intercept Form 1

Quick Graphs Using Slope-Intercept form 4.6 Objective 1 – Graph a linear equation in slope-intercept form.

When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y- intercept for each equation. 1. y = 3x y = ½.

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

Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

SWBAT… Write lines in slope-intercept form Mon, 11/28 Agenda 1.WU (10 min) 2.Slope quiz review (5 min) 3.5 Practice problems - slope-intercept form (20.

7-3 Writing equations in Slope- Intercept form Objectives: Write a linear equation in Slope-intercept form given the slope and y intercept.

SWBAT… Write lines in slope-intercept form 1/7/09 Agenda 1.WU (5 min) 2.Notes on slope intercept Warm Up What is the slope of the line passing through.

Warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x.

Equations in Slope- Intercept Form Honors Math – Grade 8.

Review: Writing an equation of a line Prepare to write equations for lines of best fit on scatter plots.

Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept.

SWBAT… Write lines in slope-intercept form Tues, 1/14 Agenda 1.WU/Review hw#2 (10 min) 2.5 Practice problems - slope-intercept form (20 min) 3.Quiz –

Monday, 1/12 Warm-up It snowed 6 inches already and it is expected to snow another 2 inches every hour. 1.Write an equation representing the total snowfall.

SLOPE 8.2.spi11 Finding the slope of a line: The slope of a hill means how steeply it goes up or down. Lines and curves also have a slope. To find slope:

2.3 Notes Linear Functions: Slope, Graphs, and Models.

SWBAT… Write and graph lines in slope-intercept form Thurs, 12/7

Practice converting linear equations into Slope-Intercept Form

The Slope of a Line… Continued!

Practice converting linear equations into Slope-Intercept Form

Practice converting linear equations into Slope-Intercept Form

Practice converting linear equations into Slope-Intercept Form

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

Practice converting linear equations into Slope-Intercept Form

Warm Up -2(x - 1) -3(x + 5) 4(x - 2)

Quick Graphs of Linear Equations

The Slope of a Line… Continued!

Presentation transcript:

Practice converting linear equations into Slope-Intercept Form It’s easier than you think…

Focus 7 - Learning Goal #1: The student will understand the connections between proportional relationships, lines, and linear equations and use functions to model relationships between quantities. 4 3 2 1 In addition to level 3.0 and beyond what was taught in class, the student may: Make connection with other concepts in math. Make connection with other content areas. The student will demonstrate and explain the connections between proportional relationships, lines, and linear equations and use functions to model relationships between quantities. The student will demonstrate and identify proportional relationships, lines, and linear equations and use functions to model quantities. With help from the teacher, the student has partial success with level 2 and 3 elements. Even with help, students have no success with level 2 and 3 content.

y = mx + b Slope intercept form is: Our main goal is to get the y alone on one side of the equation

Convert Into Slope-Intercept Form (divide both sides by 2 to get y alone) (now simplify all fractions) 2 1

When an equation is in slope-intercept form: y = mx + b slope Intercept Now look at the equation below…… 2 What is the slope? ____________ (0, 1) What is the intercept? ____________

y = 2x + 1 Now look at the graph of the line. Step 1: Look at the y-intercept and plot where the graphs cross the “y” axis. Step 2: Use the slope (rise/run) to determine the next point and plot. Step 3: Draw a line through both points. Be sure to extend pass point and put arrow at both ends.

*** Easy *** 5y = 10x + 15 y = 2x + 3 BRAVO!! Convert to Slope-Intercept Form: 5y = 10x + 15 (divide both sides by 5 to get y alone) (now simplify all fractions) y = 2x + 3 BRAVO!!

*** Now Try this Convert to Slope-Intercept Form *** -3y = -9x - 12 Step 1: divide both sides by -3 to get y alone Step 2: Simplify all fractions Step 3: Write your equation in y = mx + b What is the slope? ____________ What is the intercept? ____________

*** Check Your Answer *** -3y = -9x - 12 (divide both sides by -3 to get y alone) -3 -3 (now simplify all fractions) -3y = -9x - 12 -3 -3 -3 y = 3x + 4 Wow, you’re good at this!! Slope = 3 Intercept = 4

*** medium *** 21x – 7y =14 -7y = -21x + 14 y = 3x – 2 Convert to Slope-Intercept Form: 21x – 7y =14 (subtract both sides by 21x) (now divide both sides by -7) -7y = -21x + 14 (simplify all fractions) y = 3x – 2

*** Now Try this Convert to Slope-Intercept Form *** 2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions What is the slope? ____________ What is the intercept? ____________

*** Check Your Answer *** 2y + 26 = -6x (subtract both sides by 26) (now divide both sides by 2 2y = -6x - 26 (simplify all fractions) y = -3x - 13 You are a math wizard!

Graphing from the slope-intercept form Graph y = ½ x + 2 Locate the y-intercept on the graph and plot the point.

Plotting the second point using the slope ½ Move up 1 and right 2 and plot the second point.

Plotting the slope

Drawing the line Now use a straight edge and connect the two points. You can check your work, by choosing any point located on the line and substituting the point into the equation. The equation will be true no matter what point you chose.