y = mx + b y – y1 = m (x – x1) Topic: Writing Equations given two

Slides:

Advertisements

Similar presentations

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

Advertisements

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.

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

EXAMPLE 3 Write an equation of a line given two points

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

2.3 – Slopes, Forms of Lines. Slope Slope = measure of steepness of a line in the Cartesian plane for two points Slope = m = Two ways to calculate slope:

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

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

2.4 Essential Questions What is the point-slope form?

2.5.1 – Writing Equations of Lines. Given certain information, we must now be able to write our own equations of graphs Still try and use the forms of.

Warmups 1. Determine the x and y intercepts of: 3x + 6y = Find the slope and y-intercept: 4x + 3y = 6 y – 2=3(x+1) 3. Write an equation in point-slope.

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

Geometry Section 3.7 cont. “Writing Equations of Lines”

WRITE LINEAR EQUATIONS IN SLOPE- INTERCEPT FORM December 2, 2013 Pages

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

Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 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.

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.

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

WRITING EQUATIONS IN SLOPE INTERCEPT FORM 4.2. What you need… ■In order to write an equation in slope intercept form you need to know 2 things: ■ y =

5.3 Write Linear Equations in Point-Slope Form Big Idea: -Verify that a point lies on a line, given an equation of a line. -Derive linear equations by.

§2.4 Write Equations of Lines CA Standard: Algebra 1: 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able.

Algebra 1 Section 5.6 Write linear equations in standard form Recall: Forms of linear equations Standard Slope-intercept Point-slope Graph 4x – 3y = 6.

Aim: How do we find points of intersection? What is slope? Do Now: Is the function odd, even or neither? 1)y - x² = 7 2)y = 6x - x⁷ 3)y = √ x⁴ - x⁶ 4)Find.

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.

1. Write the equation in standard form.

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

Graphing Lines Using Slope-Intercept Form

Writing Equations of a Line

Slope Intercept Form Algebra

Point-Slope Form and Writing Linear Equations

Find the equation of the tangent line for y = x2 + 6 at x = 3

Algebra 1 Section 5.2 Write equations of lines given slope and a point

Writing Equations of a Line

Equations of straight lines

2.4 Writing the Equation of a Line

Objective The student will be able to:

PARENT GRAPH FOR LINEAR EQUATIONS

The Slope-Intercept Form of a Linear Equation

3.5 Write and Graph Equations of Lines

2.4 Writing the Equation of a Line

8/29/12 Writing the Equation of a Line

Writing the Equation of a Line

Determining an Equation of a Line

Any linear equation which is solved for y is in

5.6 – point slope formula Textbook pg. 315 Objective:

5.3: Write Equations in Point-Slope Formula

Write the equation for the following slope and y-intercept:

Write the equation of the line.

y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form

Geometry Section 3.5.

8-6 Slope-Intercept Form

Write and graph lines in point-slope form and standard form

Writing Equations of a Line

Slope-intercept Form of Equations of Straight Lines

ALGEBRA TWO Section Writing Equations of Lines

2.2: Graphing a linear equation

Section 4 – Writing Linear Equations

Writing Equations in point-slope form.

Homework Lesson 4.03_ pg 287_ #8-11.

6-2 Slope-Intercept Form

Starter challenge.

Objectives: To graph lines using the slope-intercept equation

2.4 Writing the Equation of a Line

1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x

Graphing using Slope-Intercept Form

Presentation transcript:

y = mx + b y – y1 = m (x – x1) Topic: Writing Equations given two points Text Section: 5.2 Standard: 7.0 Question / Key Words Notes or Solutions to Problems m = Slope b = y-intercept Slope-Intercept Form y = mx + b m = Slope Point–Slope y – y1 = m (x – x1) Form Point

-1 – – y – y1 = m (x – x1) y – 1 = -1 (x – ) 2 y – 1 = -1x + 2 + 1 + 1 Question / Key Words Notes or Solutions to Problems Step 1: Find the Slope Write in slope-intercept form the equation of the line that passes through the points (2, 1) and (-5, 8). y2 – y1 Slope (m) = x2 – x1 – 7 8 1 m -1 = = = – -5 2 -7 (x1, y1) Step 2: Write in Point Slope Form (x2, y2) y – y1 = m (x – x1) y – 1 = -1 (x – ) 2 y – 1 = -1x + 2 + 1 + 1 y = -x + 3

– – y – y1 = m (x – x1) y – (-4) = 3 (x – ) 2 y + 4 = 3x – 6 – 4 – 4 y Question / Key Words Notes or Solutions to Problems Step 1: Find the Slope 2) Write in slope-intercept form the equation of the line that passes through the points (2, -4) and (4, 2). y2 – y1 Slope (m) = x2 – x1 2 – (-4) 6 2 + 4 m = = = = 3 – 4 2 2 2 (x1, y1) Step 2: Write in Point Slope Form (x2, y2) y – y1 = m (x – x1) y – (-4) = 3 (x – ) 2 y + 4 = 3x – 6 – 4 – 4 y = 3x – 10

– – y – y1 = m (x – x1) y – 3 = (x – ) (-7) y – 3 = (x ) + 7 Question / Key Words Notes or Solutions to Problems Step 1: Find the Slope 3) Write in slope-intercept form the equation of the line that passes through the points (-7, 3) and (-4, 1). y2 – y1 Slope (m) = x2 – x1 1 – 3 -2 -2 2 m = = = = – – -4 (-7) -4 + 7 3 3 (x1, y1) Step 2: Write in Point Slope Form (x2, y2) y – y1 = m (x – x1) 2 y – 3 = – (x – ) (-7) 3 2 y – 3 = – (x ) + 7 3

y – 3 = (x ) + 7 y – 3 = x – + + 3 + 3 y = x 3) Write in Question / Key Words Notes or Solutions to Problems 3) Write in slope-intercept form the equation of the line that passes through the points (-7, 3) and (-4, 1). 2 y – 3 = – (x ) + 7 3 2 14 y – 3 = – x – 3 3 (x1, y1) 9 + + 3 + 3 3 (x2, y2) 2 5 y = – x – 3 3

– – y – y1 = m (x – x1) y – (-9) = (x – ) (-2) y + 9 = (x ) + 2 Question / Key Words Notes or Solutions to Problems Step 1: Find the Slope 4) Write in slope-intercept form the equation of the line that passes through the points (-2, -9) and (6, -3). y2 – y1 Slope (m) = x2 – x1 -3 – (-9) 6 -3 + 9 3 m = = = = – 6 (-2) 6 + 2 8 4 (x1, y1) Step 2: Write in Point Slope Form (x2, y2) y – y1 = m (x – x1) 3 y – (-9) = (x – ) (-2) 4 3 y + 9 = (x ) + 2 4

y + 9 = (x ) + 2 y + 9 = x + – – 9 – 9 y = x y = x 4) Write in Question / Key Words Notes or Solutions to Problems 4) Write in slope-intercept form the equation of the line that passes through the points (-2, -9) and (6, -3). 3 y + 9 = (x ) + 2 4 3 6 y + 9 = x + 4 4 (x1, y1) 36 – – 9 – 9 4 (x2, y2) 3 30 y = x – 4 4 3 15 y = x – 4 2

y = mx + b y b = -2 -4 x +2 1 m = = – + 2 -4 2 1 y = – x – 2 2 Question / Key Words Notes or Solutions to Problems 5) Write an equation in slope-intercept form of the line shown in the graph Write in slope-intercept form. y = mx + b y Find the y-intercept. b = -2 Find the slope m. -4 x +2 1 m = = – + 2 -4 2 1 y = – x – 2 2

y = mx + b x1 = y1 = y – y1 = m (x – x1) y – (-2) = (x – ) 2 y + 2 = Question / Key Words Notes or Solutions to Problems 6) Write an equation in slope-intercept form of the line shown in the graph Write in slope-intercept form. y = mx + b Find the slope m. +2 2 y m = = +3 3 Find a point. x1 = y1 = (2, -2) 2 -2 Write in Point Slope Form x y – y1 = m (x – x1) +3 2 +2 y – (-2) = (x – ) 2 3 2 y + 2 = (x ) – 2 3

y + 2 = (x ) – 2 y + 2 = x – – – 2 – 2 y = x 2 3 y 2 4 3 3 6 x 3 +3 +2 Question / Key Words Notes or Solutions to Problems 6) Write an equation in slope-intercept form of the line shown in the graph Write in Point Slope Form 2 y + 2 = (x ) – 2 3 y Write in Slope-Intercept Form 2 4 y + 2 = x – 3 3 6 – x – 2 – 2 3 +3 +2 2 10 y = x – 3 3

y = mx + b x1 = y1 = y – y1 = m (x – x1) y – 1 = – (x – ) 2 +1 1 m = = Question / Key Words Notes or Solutions to Problems 7) Write an equation in slope-intercept form of the line shown in the graph Write in slope-intercept form. y = mx + b Find the slope m. +1 1 m = = – y –4 4 Find a point. x1 = y1 = (2, 1) 2 1 – 4 +1 Write in Point Slope Form y – y1 = x m (x – x1) 1 y – 1 = – (x – ) 2 4

y – 1 = – (x – ) 2 y – 1 = – x + + + 1 + 1 y = – x y = – x 1 4 y 1 2 Question / Key Words 7) Write an equation in slope-intercept form of the line shown in the graph Write in Point Slope Form 1 y – 1 = – (x – ) 2 4 y Write in Slope-Intercept Form 1 2 y – 1 = – x + – 4 +1 4 4 4 + + 1 + 1 4 x 1 6 y = – x + 4 4 1 3 y = – x + 4 2

Assignment Book Pg. 288 – 289 # 3, 5, 7, 8, 21, 22, 23, 25 – 31 odd, 35