Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept.

Slides:

Advertisements

Similar presentations

Writing the Equation of a Line Using Slope-Intercept Form Chapter 5.1.

Advertisements

Practice converting linear equations into Slope- Intercept Form It’s easier than you think…

4.7 Graphing Lines Using Slope Intercept Form

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

Quick graphs using Intercepts 4.3 Objective 1 – Find the intercepts of the graph of a linear equation Objective 2 – Use intercepts to make a quick graph.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 3) CCSS Then/Now New Vocabulary Key Concept: Slope-Intercept Form Example 1:Write and Graph.

Writing linear equations in Slope-Intercept Form It’s easier than you think…

Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?

Lesson 5-3 Slope-Intercept Form.

Learn to use slopes and intercepts to graph linear equations.

Slope-Intercept Form Page 22 10/15. Vocabulary y-Intercept: the point at which a function crosses the y-axis (0, y) x-intercept: the point at which a.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.

11.6 The Slope Intercept Form

Splash Screen Graphing Equations in Slope-intercept Form Lesson 4-1.

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

Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–3) Then/Now New Vocabulary Key Concept: Nonvertical Line Equations Example 1:Slope and y-intercept.

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

Geometry Warm ups What is the slope of the line MN for M(–3, 4) and N(5, –8)? What is the slope of a line perpendicular to MN for M(–3, 4) and N(5, –8)?

Warm ups What is the slope of the line that passes through (–4, 8) and (5, 2)? Suppose y varies directly as x and y = –5 when x = 10. Which is a direct.

Main Idea and New Vocabulary NGSSS

Lesson Menu Main Idea and New Vocabulary Example 1:Find Slopes and y-intercepts Example 2:Find Slopes and y-intercepts Example 3:Write an Equation in.

1.A 2.B 3.C 4.D A.d = 400t; 5 h B.d = 490t; 4 h C.d = 40t; 50 h D.d = 4t; 500 h A baggage train took 3.5 hours to travel 140 miles. Write a direct variation.

SWBAT… Write and graph lines in slope-intercept form Mon, 11/14 Agenda 1.WU (10 min) 2.Video on graphing (5 min) 3.Graphing lines (10 min) 4.Writing equations.

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

WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.

Section 6-3: Standard Form of a Linear Equation SPI 22C: select the graph that represents a given linear function Objective: Graph and write linear equations.

Graph using Slope-Intercept Form A linear equation in the form y=mx+b is written in slope-intercept form where m is the slope and b is the y-intercept.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–3) CCSS Then/Now New Vocabulary Key Concept: Nonvertical Line Equations Example 1:Slope and.

Then/Now You found rates of change and slopes. (Lesson 3–3) Write and graph linear equations in slope-intercept from. Model real-world data with equations.

Section 4.7 Slope-Intercept Form. Coordinated Plane.

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.

Splash Screen. Then/Now You wrote linear equations given either one point and the slope or two points. Write equations of lines in point-slope form. Write.

Do Now 1. Solve the equation 2. Find the x-intercept and the y-intercept of the equation +4x 2 + 5x = x = x = -2 5x + (0) = 25 5x = 25 x.

4-2 Writing Linear Equations Given Two Points

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.

Warm-up Presentation Lesson Quiz

2.3 Graphing Linear Equations in Slope-Intercept Form.

Slope-Intercept Form. Warm-up: Find the slope of the following: Find the slope of the line passing through: (-1,- 2)(3,4) Slope = 6 4 Find the slope of.

You found the slopes of lines.

Concept 1 Example 1 Write and Graph an Equation in Point-Slope Form (x 1, y 1 ) = (–2, 0) Point-slope form Answer: Write the point-slope form of an equation.

Write and graph linear equations in slope-intercept form.

Drill #63 Write a direct variation equation that relates x to y. Assume that y varies directly as x. Then solve. 1. If y = 8 when x = 2, find x when y.

Writing Linear Equations (Slope- Intercept Form).

5)Find the slope of the line passing through the two given points. a)(-3,5) and (-3,1) b)(4, 6) and (1,6)

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.

Example 2 Graphing Using Slope-Intercept Form 1

Quick Graphs Using Slope-Intercept form 4.6 Objective 1 – Graph a linear equation in slope-intercept form.

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.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 3) CCSS Then/Now New Vocabulary Key Concept: Slope-Intercept Form Example 1:Write and Graph.

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

Splash Screen. Then/Now You wrote equations in point-slope form. Write an equation of the line that passes through a given point, parallel to a given.

Do Now 1)What is the equation of the line passing through the points (0, 5) and (3, 6) ?

Holt McDougal Algebra Slope-Intercept Form Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 Find each slope x + 2y = x.

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.

Equations in Slope- Intercept Form Honors Math – Grade 8.

Pre-Algebra 11-3 Using Slopes and Intercepts Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (-1, 4) 2. (1, 2)

5.1 – Writing Linear Equations in Slope- Intercept Form.

Standard Form Equation of a Line Name Feb 29, 2011 Are these equations of the SAME LINE? y = x + 2 x – y = -2.

X + 2y = 4 xy Solve equation for y. 3x – 2y = -6 xy Solve equation for y.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.

2.3 Notes Linear Functions: Slope, Graphs, and Models.

Splash Screen. Over Lesson 3–3 5-Minute Check 1 A. B. C. D. What is the slope of the line MN for M(–3, 4) and N(5, –8)?

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

Quick Graphs of Linear Equations

Any linear equation which is solved for y is in

11.2 Slope: y-intercept: 5.

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

Presentation transcript:

Splash Screen

Concept

Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept of –1. Then graph the equation. Slope-intercept form

Now graph the equation. Example 1 Write and Graph an Equation Step 1Plot the y-intercept (0, –1). Step 2The slope is. From (0, –1), move up 1 unit and right 4 units. Plot the point. Step 3Draw a line through the points. Answer:

Example 1 Write an equation in slope-intercept form of the line whose slope is 4 and whose y-intercept is 3. A.y = 3x + 4 B.y = 4x + 3 C.y = 4x D.y = 4

Example 2 Graph Linear Equations Graph 5x + 4y = 8. Solve for y to write the equation in slope-intercept form. 8 – 5x = 8 + (–5x) or –5x + 8 Subtract 5x from each side. Simplify. Original equation Divide each side by 4. 5x + 4y = 8 5x + 4y – 5x= 8 – 5x 4y= 8 – 5x 4y= –5x + 8

Example 2 Graph Linear Equations Slope-intercept form Step 1Plot the y-intercept (0, 2). Now graph the equation. From (0, 2), move down 5 units and right 4 units. Draw a dot. Step 2The slope is Step 3Draw a line connecting the points. Answer:

Example 2 Graph 3x + 2y = 6. A.B. C.D.

Example 3 Graph Linear Equations Graph y = –7. Step 1Plot the y-intercept (0,  7). Step 2The slope is 0. Draw a line through the points with the y-coordinate  7. Answer:

Example 3 Graph 5y = 10. A.B. C.D.

Example 4 Which of the following is an equation in slope-intercept form for the line shown in the graph? A. B. C. D.

Example 4 Read the Test Item You need to find the slope and y-intercept of the line to write the equation. Step 1The line crosses the y-axis at (0, –3), so the y-intercept is –3. The answer is either B or D. Solve the Test Item

Example 4 Step 2To get from (0, –3) to (1, –1), go up 2 units and 1 unit to the right. The slope is 2. Step 3Write the equation. y = mx + b y = 2x – 3 Answer: The answer is B.

Example 4 Which of the following is an equation in slope- intercept form for the line shown in the graph? A. B. C. D.

Concept Assignment:1/5/16 Page 219 – 220 Problems 18 – 36 (evens) Due: Friday, 1/8/16 On all future HW assignments, make sure you include both: Your Name AND The Section (4-1) No Name = no credit No Section = -1 point