Writing Equations of Lines

Slides:

Advertisements

Similar presentations

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

Advertisements

WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.

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 an Equation of a Line

2.4 Writing the Equation of a Line

Warm up Tell whether the relation is a function.

Writing Equations Index Card Activity.

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.

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.

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

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.

X and Y Intercepts.

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

Slope-Intercept Form. y=mx + b m is the SLOPE m is the SLOPE b is the Y-INTERCEPT (where the line crosses the y-axis) b is the Y-INTERCEPT (where the.

 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.

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.

1.2 Slopes and Intercepts equation for a given line in the coordinate

How to Write an Equation of a Line Given TWO points

Warm up Tell whether the relation is a function. {(-1, 5), (-3, 2), (2, 0), (1, 2)} Evaluate: f(x) = 2x2 – 4 when x = -3 Find the slope: (5,

Writing Linear Equations

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

Writing Linear Equations in Slope-Intercept Form

Warm up Write the equation of a line when given: m = -1 b = ½

Writing Equations of Lines

5.4 Writing Equations in Point-Slope Form

6.1 Solving Systems of Linear Equations by Graphing

Writing Equations From Graphs

3.1 Graphing in 2-D Coordinates

3-1 Graphing Systems of Equations

Write an Equation in Slope-Intercept Form

2.4 Writing the Equation of a Line

Writing Linear Equations When Given a Point and the Slope

Warm-up Find the slope of the line.

Review (3,3) (4,-2) (6,5) (9,1).

2.4 Writing the Equation of a Line

8/29/12 Writing the Equation of a Line

Writing Linear Equations When Given a Point and the Slope Day 2

Writing Linear Equations When Given Two Points on the Line

Slope and Rate of Change

Algebra I Mrs. Long Adapated from

Forms of a linear equation

Writing Equations of Lines

Example 1A: Graphing by Using Slope and y-intercept

6-1 Solving Systems by Graphing

Warm up Tell whether the relation is a function.

Warm up Tell whether the relation is a function.

2-4: Writing Linear Equations Using Slope Intercept Form

First let’s review 5.1 y = mx + b

Warm up Tell whether the relation is a function.

Solving Equations 3x+7 –7 13 –7 =.

8-6 Slope-Intercept Form

Warm up Tell whether the relation is a function.

Writing Equations of Lines

Warm up Tell whether the relation is a function.

Warm up Tell whether the relation is a function. {(-1, 5), (-3, 2), (2, 0), (1, 2)} Evaluate: f(x) = 2x2 – 4 when x = -3 Find the slope:

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

Objective The student will be able to:

Starter challenge.

Objectives: To graph lines using the slope-intercept equation

2.4 Writing the Equation of a Line

ALGEBRA I - REVIEW FOR TEST 2-1

Warm up Tell whether the relation is a function.

Point-Slope Form y – y1 = m(x – x1)

Writing Equations of Lines Day 92

Presentation transcript:

Writing Equations of Lines

I. How to Write an Equation of a Line Given m and b 1. Write down y = mx + b 2. Substitute slope for m and y-intercept for b. 3. Simplify the equation

Write the equation of the line given m and b. Ex. 1 Slope is -5 and y-intercept is 2 y = -5x + 2 Ex. 2 Slope is -1/2 and y-intercept is -2 y = -½x – 2

Write the equation of the line given m and b. Ex. 3 Slope is 0 and y-intercept is 3 y = 3 Ex. 4 Slope is 1/3 and y-intercept is 0

II. How to Write an Equation of a Line Given a Graph Write down y = mx + b Use any 2 “good” points on the graph to find the slope, m. Find the y-intercept on the graph, b. Substitute slope for m and y-int for b into the equation y = mx + b.

6. Write the equation of this graph  

7. Write the equation of this graph   y = -3x + 2

8. Write the equation of this graph   y = 2x

9. Write the equation of this graph   y = 3

10. Write the equation of this graph x = - 6

III. How to Write an Equation of a Line Given m and a point Write down y = mx + b. Substitute slope for m and the point (x, y). Solve for b. Substitute m and b back into the equation.

Write the equation of the line given m and a point Ex 13: m = 2 Point: (2, 3) y = mx + b 3 = 2 (2) + b b = -1 y = 2x – 1

Write the equation of the line given m and a point Ex 14: m = 1/2 Point: (4,-3) y = mx + b -3 = 1/2 (4) + b b = -5 y = ½ x – 5

Write the equation of the line given m and a point Ex: 16 m = 4 (1,4) y = 4x

Write the equation of the line given m and a point Ex: 18 m = 2 (0,3) y = 2x + 3

Write the equation of the line given m and a point Ex: 20 m = undefined (3,6) x = 3

IV. How to Write an Equation of a Line Given TWO points Write down y = mx + b. Use the slope formula to find m. Pick one of the ordered pairs & substitute slope for m and the point (x, y). Solve for b. Substitute m and b into the equation.

Equation of a Line - Given 2 points Ex: 21 (2, 3) (4, 5) y = mx + b 3 = 1(2) + b b = 1 y = x + 1

Equation of a Line - Given 2 points Ex: 22 (2, 3) (-4, 15) y = -2x + 7

Equation of a Line - Given 2 points Ex: 23 (2, 2) (0, 4) y = -x + 4