2.6 Finding equations of lines. Review Slope-Intercept Form: y = mx + b Point-Slope Form: y – y 1 = m (x – x 1 )

Slides:

Advertisements

Similar presentations

Objective- To write a linear equation given a point

Advertisements

GONE FISHIN’ with LINEAR EQUATIONS! PLAY!.

5.7 Parallel and Perpendicular Lines

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

2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)

11.6 The Slope Intercept Form

Finding the Equation of a Line Critical Thinking Skill: Explicitly assess information and draw conclusions.

Writing Linear Equations Group Competition. State the Slope and Y-Intercept #1.

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

Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Finding Slope-Intercept Form.

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

Point-Slope Form of a Linear Equation. Point-Slope Form In most textbooks the graphing form for a linear equation is called Point-Slope Form and is the.

Writing Linear Equation using slope-intercept form.

WRITING LINEAR EQUATIONS 5.1 AND 5.2. WRITING A LINEAR EQUATION GIVEN THE SLOPE AND Y-INTERCEPT Use the equation y = mx + b The slope is the m in the.

Write an equation given two points

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

Writing the Equation of a Line

Slope-Intercept Form of a Line

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.

2.3 – 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.

Parallel and Perpendicular lines I can write an equation of a line that passes through a given point, either parallel or perpendicular to a given 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.

Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.

Linear Models & Rates of Change (Precalculus Review 2) September 9th, 2015.

2.4 – Writing Linear Equations. 2.4 – Writing Linear Equations Forms:

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

Date Equations of Parallel and Perpendicular Lines.

Algebra 2 Lesson 2-4 Writing Linear Equations. Different Forms of Linear Equations Slope-intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope.

2.4 Essential Questions What is the point-slope form?

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

M Linear equations also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run.

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.

Warm Up. Write Equations of Lines Essential Question: How do you create an equation of a line given a point and the slope or given two points?

Big Idea: -Verify that a point lies on a line, given the equation of the line. -Derive linear equations by using the point-slope formula. 5-1(Part 1) Write.

Chapter 5:Write the equation of a line Given Two Points.

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

Writing an Equation of a Line I can…. determine the equation of a line and/or graph a linear equation Unit 1 Basics of Geometry.

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):

Geometry Section 3.7 cont. “Writing Equations of Lines”

Chapter 5, What Linear Equations are all about Winter, (brrrr…)

Choosing the Best Method Objective: To choose the best method of writing a linear equation between Slope-Intercept Form and Point-Slope Form. o Warm –

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.

Algebra 2 Chapter 2.4a Writing Linear Equations Target Goals: 1.Write an equation of a line in slope-intercept form, point-slope form, or standard form.

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

Geo A Chapter 7 Writing Linear Equations Write the point-slope form of the line that passes through the point (-3, -1) and has a slope of 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.

4.5 The Point-Slope Form of an Equation of a Line

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.

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

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

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.

Do Now 1)Write the slope-intercept equation of this line.

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

1.3 Modeling With Linear Functions Homework Page 26 #3-10.

Slopes of Parallel and Perpendicular Lines. Different Forms of a Linear Equation  Standard Form  Slope-Intercept Form  Point-Slope Form  Standard.

Point-Slope Formula I can write an equation given a point and the slope.

Algebra 1 Foundations, pg 338  Students will be able to write and graph linear equations using point-slope form.

Algebra 1 ~ Sections 5-4 & 5-5 & Standard Form Writing Equations of Lines in Point-Slope Form, Slope-Intercept Form, and Standard Form.

5-4 Point-Slope Form and Writing Linear Equations Hubarth Algebra.

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.

Objective - To write equations given the slope and a point using Point-Slope Form. Point-Slope Form Write the equation of a line in point-slope form that.

Linear Equations & Point-Slope Form. Point Slope Form/Equation Builder BACK.

LESSON 20 PREREQ B: Writing the Equation of a Line.

 Slope-Intercept Form:  y = mx + b  where m is the slope and b is the y-intercept.  How do you know you have b? Either you will see b = ??, or you.

BELL RINGER. POINT SLOPE - FORMULA y – y 1 = m(x – x 1 ) What does each variable represent? How can this formula be used?

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.

Presentation transcript:

2.6 Finding equations of lines

Review Slope-Intercept Form: y = mx + b Point-Slope Form: y – y 1 = m (x – x 1 )

Ex 1) Find the linear equation if you know slope m = -3 and y-intercept is (0,5) We have y = m x + b So y = -3x + 5

Practice Find the linear equation if you know slope m = - ½ and y-intercept is (0,1)

Ex2) Find a linear equation that has slope = 2 and passes through (3,5) m = 2, and (3,5) Using Slope-Intercept form Y = mx + b 5 = 2(3) + b 5 = 6 + b -1 = b So y = 2x - 1 m = 2, and (3,5) Using Point-Slope Form y – y 1 = m (x – x 1 ) y – 5 = 2 (x – 3) y – 5 = 2x - 6 y = 2x – y = 2x - 1 x y x 1 y 1

Practice Find a linear equation that has slope = -5 and passes through (-4,2)

Ex3) Find a linear equation that passes through (-2,-3) and (-4,-6) Find the slope m: y 1 – y (-6) 3 x 1 – x Use Slope-Intercept Form y= mx + b -3 = (3/2)(-2) + b -3 = -3 + b 0 = b y = (3/2) x = =

Practice Find a linear equation that passes through (-3,-5) and (-4,12)

Ex4) Find a linear equation that // to y = 2x + 1 and passes through (3,9) m = 2, and (3,9) Y = mx + b 9 = 2(3) + b 9 = 6 + b b = 3 Y = 2x + 3

Practice Find a linear equation that // to 9x – 3y =5 and passes through (2,-1)

Ex5) Find a linear equation that to y = (1/3)x - 11 and passes through (-1,4) m = -3, and (-1,4) Y = mx + b 4 = -3(-1) + b 4 = 3 + b b = 1 Y = -3x + 1

Find a linear equation that to 2x – 4y = 9 and passes through (5,4)

F(t) = -25t