EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x + 41. 3x + y = 22. SOLUTION The.

Slides:

Advertisements

Similar presentations

GONE FISHIN’ with LINEAR EQUATIONS! PLAY!.

Advertisements

SOLUTION EXAMPLE 3 Determine whether lines are perpendicular Line a: 12y = –7x + 42 Line b: 11y = 16x – 52 Find the slopes of the lines. Write the equations.

Lesson 5.1 Write Equations in Slope-Intercept Form.

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

(For help, go to Lessons 1-6 and 2-6.) ALGEBRA 1 LESSON 6-2 Slope-Intercept Form 8-4 Evaluate each expression. 1. 6a + 3 for a = 22. –2x – 5 for x = 3.

Objective The student will be able to: 1) write equations using slope-intercept form. 2) identify slope and y-intercept from an equation. 3) write equations.

Warm-Up Graph. Then find the slope. 5 minutes 1)y = 3x + 2 2) y = -2x +5.

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

11.6 The Slope Intercept Form

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 EQUATIONS IN SLOPE-INTERCEPT FORM Standard Form Review.

Directions: Solve the linear systems of equations by graphing. Use the graph paper from the table. Tell whether you think the problems have one solution,

EXAMPLE 1 Solve a quadratic equation having two solutions Solve x 2 – 2x = 3 by graphing. STEP 1 Write the equation in standard form. Write original equation.

Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =

Writing Linear Equation using slope-intercept form.

EXAMPLE 3 Write an equation of a line given two points

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

Use slope and y-intercept to write an equation

EXAMPLE 1 Write an equation of a line from a graph

Write an equation given two points

EXAMPLE 3 Solve an equation by factoring Solve 2x 2 + 8x = 0. 2x 2 + 8x = 0 2x(x + 4) = 0 2x = 0 x = 0 or x + 4 = 0 or x = – 4 ANSWER The solutions of.

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

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

Solve a radical equation

Writing the Equation of a Line

Slope-Intercept Form of a Line

Graph using Slope-Intercept Form A linear equation in the form y=mx+b is written in slope-intercept form where m is the slope and b is the y-intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Rewriting an equation in

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.

2.5 Writing Equation of a Line Sept 19, Equations of a Line equation written in the form Ax + By = C where A and B are not both zero Slope-Intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Lecture 161 Unit 2 Lecture 16 Slope Slope. Lecture 162 Objectives Given two points, calculate the slope of the line through those two pointsGiven two.

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

5.1 Writing Equations in Slope Intercept Form DO NOW: 1) Identify the Slope and Y-INT: y = -3x + 5 2)Find the slope: (-2, 3) and (4, -1) 3) Which point.

Writing Equations of a Line. Various Forms of an Equation of a Line. Slope-Intercept Form.

WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages

Objective Write equations in slope-intercept form. Identify slope and y-intercept from an equation. 3.2 Slope-Intercept Form of a Linear Equation.

Graphing Lines Section 4.6.

Slope Intercept Form Getting the equation into the proper form!

EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a.

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):

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 2 Graphing Using Slope-Intercept Form 1

4.3 – Writing Equations in Point Slope Form. Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3.

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

Section P.2 – Linear Models and Rates of Change. Slope Formula The slope of the line through the points (x 1, y 1 ) and (x 2, y 2 ) is given by:

Use point-slope form to write an equation EXAMPLE 3 Write an equation in point-slope form of the line shown.

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.

Jeopardy Inequalities Standard Form Slope, Y-Intercept, X-Intercept Systems of Equations Q $100 Q $200 Q $300 Q $400 Q $100 Q $200 Q $300 Q $400 Slope-

Ch 5.4 Objective: To rewrite an equation between standard form and slope-intercept form and graph it.

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

SOLUTION EXAMPLE 3 Determine whether lines are perpendicular Line a: 12y = – 7x + 42 Line b: 11y = 16x – 52 Find the slopes of the lines. Write the equations.

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

Equations of Lines Part 2 Students will: Write slope intercept form given a point and a slope 1.

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

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.

Using Slopes and Intercepts

STANDARD EQUATION OF A LINE: Ax + By = C

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

Write Equations of Lines

Substitute either point and the slope into the slope-intercept form.

Presentation transcript:

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 equation is in the form y = mx + b. So, the slope of the line is 3, and the y -intercept is 4. a. b. Rewrite the equation in slope-intercept form by solving for y.

EXAMPLE 1 Identify slope and y-intercept 3x + y = 2= 2 Write original equation. y= –3x + 2 Subtract 3x from each side. ANSWER The line has a slope of –3 and a y- intercept of 2.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 5x – 31. GUIDED PRACTICE for Example 1 ANSWER 5, –3

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. 3x – 3y = 122. GUIDED PRACTICE for Example 1 ANSWER 1, –4

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. x + 4y = 63. GUIDED PRACTICE for Example 1 ANSWER 4 1 , 2 1 1