2.4 Writing the Equation of a Line

Slides:

Advertisements

Similar presentations

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

Advertisements

Writing an Equation of a Line

Writing Linear Equations Using Slope Intercept Form

2.4 Writing the Equation of a Line

The equation of a line - Equation of a line - Slope - Y intercept

Linear Equations Review. Find the slope and y intercept: y + x = -1.

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.

EXAMPLE 3 Write an equation of a line given two points

Write an equation given two points

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

Write Linear Equations in Slope- Intercept Form (Part 2) Big Idea: Verify that a point lies on a line. Derive linear equations.

Writing an Equation Using Two Points Goal: to write an equation of a line, in slope intercept form, that passes through two points.

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.

X and Y Intercepts.

Unit 3 Part 2 Writing Equations Ax + By = C (standard form) y = mx + b (slope – intercept form)

2.4 “Writing Linear Equations” ***When writing equations of lines, substitute values for: y = mx + b Given: 1.Slope and y-intercept m = -3 b = 5 Step:

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

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.

6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.

Linear Functions and Slope

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 -

 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.

How to Write an Equation of a Line Given TWO points

Writing Linear Equations

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

Graphing Lines Using Slope-Intercept Form

Point-Slope Form and Writing Linear Equations

Writing Linear Equations in Slope-Intercept Form

Slope Intercept Form.

5.3 a Slope-Intercept Form

4-3 Point-Slope Form Goal:

3.3: Point-Slope Form.

Chapter 1 Linear Equations and Linear Functions.

Write an Equation in Slope-Intercept Form

Do Now Rewrite the equation 6x - 2y = 8 in slope intercept form. (y = mx + b) What is the equation in slope intercept form? What number represents the.

Equations of straight lines

Chapter 1: Lesson 1.3 Slope-Intercept Form of a Line

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.

Writing Linear Equations When Given a Point and the Slope

Slope Intercept Form.

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

Writing Linear Equations From Key Information

2.4 Writing the Equation of a Line

Point-Slope Form and Writing Linear Equations

8/29/12 Writing the Equation of a Line

Writing Linear Equations When Given Two Points on the Line

Chapter 1 Linear Equations and Linear Functions.

5-4 Point-Slope Form and Writing Linear Equations

Quiz 2.1 Review Whiteboards

2.5 Writing Equations in Slope Intercept Form

Writing Linear Equations Given Two Points

Forms of a linear equation

5.6 – point slope formula Textbook pg. 315 Objective:

Do Now 11/15/11 Line 1: (2, -7) (0,-5) Line 2 (0, 4), (8, 3.5)

4.7 Graphing Lines Using Slope-Intercept Form

2-4: Writing Linear Equations Using Slope Intercept Form

First let’s review 5.1 y = mx + b

Writing Equations of Lines

Slope-intercept Form of Equations of Straight Lines

2.2: Graphing a linear equation

5.4 Finding Linear Equations

Writing Equations of Lines

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

ALGEBRA I - REVIEW FOR TEST 2-1

Point-Slope Form y – y1 = m(x – x1)

Writing Equations of Lines Day 92

Presentation transcript:

2.4 Writing the Equation of a Line

Review of Slope-Intercept Form The slope-intercept form of a linear equation is y = mx + b. m represents the slope b represents the y-intercept

Review of Slope-Intercept Form Name the slope and y-intercept of each equation: m = -4, b =3 m = - , b = 5 Rewrite as y = -8x , m = -8, b = Rewrite as y = 2x - 5, m = 2, b = -5 Rewrite as y = x + 0, m = , b = 0 Rewrite as y = 0x + 5, m = 0, b = 5 y = -4x + 3 y = 5 – x 8x + y = 4x - 2y =10 y = x y = 5

Write the equation of a line given... 1. Slope and y-intercept 2. Graph 3. Slope and one point 4. Two points 5. x - and y-intercepts

Find the Equation of the Line Given the Slope and y-intercept Substitute m and b into y = mx + b m = -3, b = 1 m = -2, b = -4 m = 0, b = 10 m = 1, b = 0 m = 0, b = 0 y = -3x + 1 y = -2x - 4 y = 0x + 10, y = 10 y = 1x + 0, y = x y = 0x + 0, y = 0

Find the Equation of a Line Given the Graph Find the y-intercept from the graph. Count the slope from the graph. To write the equation of the line, substitute the slope and y-intercept in the slope-intercept form of the equation.

Example 1 b = -3 m = y = x - 3 x y +2 +3

Example 2 b = 1 m = y = x + 1 x y +1 -2

Example 3 b = 4 m = 0/1= 0 y = 0x + 4, y = 4 x y

Find the Equation of a Line Given the Point and the Slope Use the Point-Slope Formula: is the given point Substitute m and into the formula

Example Write the equation of the line with slope = -2 and passing through the point (3, -5). Substitute m and into the Point-Slope Formula.

Find the Equation of the Line Given Two Points Calculate the slope of the two points. Use one of the points and the slope to substitute into the Point-Slope formula.

Example Write the equation of the line that goes through the points (3, 2) and (5, 4).

Find the Equation of the Line Given the x- and y - intercepts Write the intercepts as ordered pairs. The x-intercept 4 is the ordered pair (4, 0). The y-intercept -2 is the ordered pair (0, -2). Calculate the slope. Substitute the slope and the y-intercept (b) into the slope-intercept formula.

Example Write the equation of the line with x-intercept 3 and y-intercept 2. x-intercept 3 = (3, 0); y-intercept 2 = (0, 2) Slope: y = mx + b