WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 5 Minutes Remain.

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

WARM UP Evaluate the expression – – ÷ – ÷ – 8 ÷ Minutes Remain.

Lesson 5.1 Write Equations in Slope-Intercept Form.

4.7 Graphing Lines Using Slope Intercept Form

Questions from 1.5 HW???.

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

Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.

Lesson 6.2 Slope-Intercept Form Objective 1: Writing Linear Equations Linear Equation – an equation whose graph is a straight line when graphed Y-Intercept.

Learn to use slopes and intercepts to graph linear equations.

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

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

11.6 The Slope Intercept Form

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = 1 5 Minutes Remain a4a

For example: Could you tell that the equations y=2x +1 and y= 2x-7 have no solution? Can you look at a system of linear equations and tell how many solutions.

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

Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

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

Writing Linear Equation using slope-intercept form.

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

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.

2-4: Writing Linear Equations Using Slope Intercept Form.

Writing the Equation of a Line

Slope-Intercept Form of a Line

WARM UP MIXED REVIEW (solve the equation) 1.X + 6 = – y = 4 3.7b = = 3 5.3x – 12 = 6 6. h – 2 = 1 5 Minutes Remain a4a

Goal: Write a linear equation..  1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line.  2. What.

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.

Day 10 Geometry. Warm Up 1) Solve for y 3x – 2y = 6 2) Put the following into slope-intercept form and graph y – 5 = 4 (x + 2)

Determine whether (2, 4) is a solution for y= 5x-6.

Date Equations of Parallel and Perpendicular Lines.

2.4 Essential Questions What is the point-slope form?

Write and Graph Linear Equation in Slope- Intercept Form I Can: 1)Write equations in slope-intercept form. 2) Graph equations that are written in slope-

WARM UP PERCENTS AND FRACTIONS Write the percent as a fraction in simplest form. 1.50% 2.75% 3.100% 4.5% 5.25% 6.6% 5 Minutes Remain.

X and Y Intercepts.

1.6 Warm Up 1.Find the slope between the points: 1.(9,3) & (-1, -6) _______________ 2.(4, -3) & (0, -3) _______________ 3.(2, 1) & (-5, 8) ________________.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

WARM UP Find three solutions to each equation. (lesson 4.2) 1.y = 1/2x y = -3/2x y = -2x XY.

Chapter 5:Write the equation of a line Given Slope & y-Intercept.

WARM UP YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint.

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).

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x x + y = 22. SOLUTION The.

Lesson 5 MI/Vocab slope-intercept form y-intercept Graph linear equations using the slope and y-intercept.

Equations of Lines LF.2.AC.7: Write an equation given two points, a point and y-intercept, a point and slope.

Lines in the Coordinate Plane

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.

Holt Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Lines in the Coordinate Plane

WARM UP GRAPHING LINES Write the equation in slope- intercept form and then Graph. (Lesson 4.7) 1.3x + y = 1 2.x + y = 0 3.y = -4 3.

Linear Functions and Slope

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.

SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Put in slope-intercept form: y = mx + b. y = 4x – 1 y = –x + 4 The solution to a system of linear equations is.

WARM UP SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 1.4x – 11 = x = 3x x + 10 = 2x x + 10 = 5x Minutes Remain.

Warm Up Tell whether the system has one solution, no solution, or infinitely many solutions.

TODAY IN ALGEBRA…  Warm Up: Writing equation in slope- intercept form, then identifying the slope and y-intercept  Learning Goal: 4.6 You will write.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Chapter 6 Lesson 2 Slope-Intercept Form. Define: Slope-Intercept Form Define: Slope-Intercept Form The slope-intercept form of a linear equation is y.

Write the Equation of the Line You will need to take notes on GRAPH paper today. Copy the graph below and we will use it to answer multiple questions.

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

Writing Equations of Lines in Slope-intercept form.

Warm Up! – Graph the line that satisfies each condition

Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information.

Graphing Lines Using Slope-Intercept Form

Warm Up – August 15, Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies.

5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0

Presentation transcript:

WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 5 Minutes Remain

WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 4 Minutes Remain

WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 3 Minutes Remain

WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 2 Minutes Remain

WARM UP Identify the slope and y-intercept of each equation. 1.y = -6x 2.y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 1 Minute Remains

WARM UP Identify the slope and y-intercept of each equation. 1.Y = -6x 2.Y = 3x – 7 3.4x – y = 5 4.7x – 3y = 4 0

4.7 Graphing Lines Using Slope- Intercept Form CLASS SCHEDULE UNTIL BREAK: 12/9 -12/12: Graphing Lines using Slope-Intercept Form 12/13: Quiz 12/16-12/17: Functions and Relations 12/18: Chapter 4 review 12/19: Chapter Four Test 12/20: Catch-up day or Christmas Graphs.

4.7 Graphing Lines Using Slope- Intercept Form Today’s Schedule: Lesson 4.7 Powerpoint Lesson 4.7 Powerpoint In class assignment/homework In class assignment/homework Exit Slip Exit Slip GOAL: Graph a linear equation in slope-intercept form. KEY WORDS: slope, y-intercept, slope-intercept form, parallel lines.

4.7 Graphing Lines Using Slope- Intercept Form SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept. y = mx + b slope y-intercept

4.7 Graphing Lines Using Slope- Intercept Form Identify Parallel Lines EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6line b: -x + 2y = -2line c: x + 2y = 4 1 Rewrite each equation in slope-intercept form. Line a: y = ½x + 3line b: y = ½x - 1line c: y = -½x + 2

4.7 Graphing Lines Using Slope- Intercept Form Identify Parallel Lines EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6line b: -x + 2y = -2line c: x + 2y = 4 2 Identify the slope of each equation. Line a: slope is ½ line b: slope is ½ line c: slope is - ½

4.7 Graphing Lines Using Slope- Intercept Form Identify Parallel Lines EXAMPLE 3 Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6line b: -x + 2y = -2line c: x + 2y = 4 3 Compare the slopes. Lines a and b are parallel because each has a slope of ½. Line c is not parallel to either of the other two lines because it has a slope of - ½.

CHECK √ CHECK √ The graph gives you a visual check.

4.7 Graphing Lines Using Slope- Intercept Form Practice: Are the following lines parallel? line a: 3x + 2y = 6line b: 6x +4y = 6 Sí, paralelo! Tu’ estas certificada! < arquitecto abogado >

PARALLEL LINES Determine whether the graphs of the two equations are parallel. Graph the lines and explain your answer. 1.Line a: y = -3x + 2Line b: y + 3x = -4 2.Line a: 2x – 12 = yLine b: y = x 3.Line a: y = x + 8Line b: x – y = -1 4.Line a: 2x – 5y = -3Line b: 5x + 2y = 6 5.Line a: y + 6x = 8Line b: 2y = 12x – 4 6.Line a: 3y – 4x = 3Line b: 3y = -4x + 9

GRAPH THESE LINES Put the equation in slope intercept form (y = mx + b) and graph. 7.Y = 2x Y = - x -2 9.Y = Y = x x + y = 5 12.y – 3x = -3