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.

Slides:

Advertisements

Similar presentations

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

Advertisements

2-3C Finding an Equation of a Line 2-3C Finding an Equation of a Line Objectives: To write an equation of a line using the slope-intercept equation.

Writing Linear Equations Using Slope Intercept Form

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

Lesson 5.1 Write Equations in Slope-Intercept Form.

Slope Intercept Form.

4.7 Graphing Lines Using Slope Intercept Form

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.

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.

11.6 The Slope Intercept Form

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

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.

Writing Linear Equation using slope-intercept form.

Write an equation given two points

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.

Writing the Equation of a Line

Slope-Intercept Form of a Line

Writing Equations of Lines. Do Now: Answer each of the following questions based on the graph 1.What is the slope of the line? 2.What is the y-intercept?

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.

8-3 & 8-4: Graphing Linear Functions Mr. Gallo. Graphing Linear Functions  Linear Function:  The graph of this function is a ____________ _______. 

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

Calculate the Slope. What is the slope-intercept form of any linear equation?

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 given a point and the slope 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.

Objective I will identify the number of solutions a linear system has using one of the three methods used for solving linear systems.

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

8.4 The Slope-Intercept Form of a Linear Equation Objective: To use the Slope-Intercept Form of a linear equation. Warm – up: Solve each equation for y.

X and Y Intercepts.

Use Linear Equations in Slope Intercept Form. Given a Slope and Coordinate Define the variables we know – m, (x, y) Substitute into slope intercept form.

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

Graphing Lines Section 4.6.

Big Idea : -Solve systems of linear equations by graphs.

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.

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.

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 –

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.

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

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.

Objective- To graph and manipulate equations in standard form. Standard FormSlope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 - 3x 2y = - 3x + 8.

5.3 Standard Form of a Line Finding an Equation Given Two Points Write the equation of the line which contains: (-2, 3) (4, 5) Slope (m)=

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.

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

2-4 Writing Linear Equations Objectives Students will be able to: 1) write an equation of a line given the slope and a point on the line, or two points.

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.

Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:

Copyright 2012 Davitily. Given an X-Y Table, Write an Equation in Slope-Intercept Form Step 1: Find the slope. Step 2: Find the y-intercept. Step 3: Substitute.

Writing Equations of Lines. What am I learning today? How can you find an equation of a line given the slope and the y intercept of the line? Given the.

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.

How to Write an Equation of a Line Given TWO points

Lesson 5.6 Point-Slope Form of 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 Two Points on the Line

Writing Linear Equations Given Two Points

Objective: To write linear equations given two points

2-4: Writing Linear Equations Using Slope Intercept Form

Writing Equations of Lines

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

6 minutes Warm-Up 1. Find the slope of the line containing the points (-2,5) and (4,6). 2. Find the slope of the line y = x – Find the slope of the.

Writing Equations of Lines

Solving a System of Linear Equations

Presentation transcript:

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 equation. The b is the y-intercept in the equation. The equation of your line should be in the form y = #x + # where you have filled in for the missing #’s Slope = 5 and the y-intercept = -3 y = 5x - 3 slope y-intercept

WRITING A LINEAR EQUATION GIVEN A POINT AND THE SLOPE. Use the equation y = mx + b The slope is your m in the equation. The point is your x and y in y = mx + b. The only part of the equation that you do not know is b, so you must find it. Substitute in x, y, and m into y = mx + b and solve for b. After finding b, go back to y = mx + b and substitute in the value of b and the slope. 5 = 1 + b 4 = b m b

WRITING A LINEAR EQUATION WITH TWO POINTS (-8, 84), (5, -46) Pick point -46 = -10(5) + b -46 = b = b Substitute in m and b y = -10x + 4