MFM 2P Minds On Integer Review! Calculate the following without using a calculator.

Slides:

Advertisements

Similar presentations

Writing Linear Equations Using Slope Intercept Form

Advertisements

Warm up Graph the equation of the line using slope & y-intercept

The equation of a line - Equation of a line - Slope - Y intercept

4.7 Graphing Lines Using Slope Intercept Form

AIM: Graphing Slope Intercept Form

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

Warmups Determine the slope of the line passing through: (2,7) (4,-5)

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Warm-Up Graph. Then find the slope. 5 minutes 1)y = 3x + 2 2) y = -2x +5.

Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)

Summer Assignment Review

Graphing Linear Equations. Identifying a Linear Equation A linear equation is any equation that can be put in the form... Ax + By = C... where A, B, and.

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.

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

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

Slope Intercept Form. Y = mx + b m is the slope b is the y-intecept (0, b) Your equation must say “y = “ Example: Y = 3x + 8 m = 3 Y-intercept (0,8) Y.

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?

Minds On Unit 5: Analytic Geometry Isolate “y” in each of the following: a) 12x – 2y = 14b) 5y – 8x + 20 = 0.

December 7, 2012 Slope Intercept Form Warm-up: Find the slope of the line that goes through (3, -2) and (4, 7). Quiz Tuesday! HW 5.3: Pg. 275 #20-5,

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

Lecture 161 Unit 2 Lecture 16 Slope Slope. Lecture 162 Objectives Given two points, calculate the slope of the line through those two pointsGiven two.

Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept.

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.

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.

Lesson 4-4 Example Determine the slope of the function y = 5x – 2. Step 1Complete a function table for the equation.

Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.

Lesson 6-6 Example Example 2 Graph y = 3x + 2 and determine the slope of the line. 1.Complete a function table for the equation.

Analyzing Data using Line Graphs Slope & Equation of a Line.

Graphing Lines Section 4.6.

MFM 2P Minds On Plot the following points: (5, 7) (-2, 3) (-10, 0) (-8, -5) (0, 6) Using either a whiteboard or graph paper, draw the Cartesian Plane and.

Chapter 5:Write the equation of a line Given Slope & y-Intercept.

There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.

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

Writing the Equation of a Line Page 6, 7, 8. Slope – Intercept Equation m = slope b = y-intercept y-intercept b=2.

Bkevil Slope-Intercept Form of a Linear Equation y = mx + b.

OBJECTIVE: USE THE SLOPE INTERCEPT FORM TO GRAPH A LINE Slope Intercept Form.

Introduction To Slope. Slope is a measure of Steepness.

Graphing Equations Slope Intercept form and Point Slope form.

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

Warm up Recall the slope formula:

Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

N * Use linear equations to solve problems and interpret the meaning of slope, m, and the y-intercept, b, in f(x)= mx + b in terms of the context.

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)=

1. 2 Homework Monday, 12/7 Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL.

Ch 5.4 Objective: To rewrite an equation between standard form and slope-intercept form and graph it.

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.

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 1.4, Slide 1 Chapter 1 Linear Equations and Linear Functions.

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

Use Linear Equations in Slope- Intercept Form Lesson 5.2 OBJ: to write an equation of a line using points on the line.

Common Core Standards Covered in this lesson: HSA-CED.A.2 --Create equations in two or more variables to represent relationships between quantities 8.F.A.3.

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.

Graphing and Writing Equations of Lines (2-4)

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

Slope-Intercept and Standard Form of a Linear Equation.

Review of Slope LESSON 10.

Finding the Slope of a Line Unit 7.02

3.5 Write and Graph Equations of Lines

Writing Linear Equations Given Two Points

Lesson 5.1 – 5.2 Write Linear Equations in Slope-Intercept Form

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

Section 3.3 The Slope of a Line.

Find the y-intercept and slope

5-3 slope-intercept form

5-4 point-slope form.

Objectives: To graph lines using the slope-intercept equation

4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.

Warm up 21 1.) Determine the slope and y intercept of the line y=7x ) Determine the slope and the yintercept of the line 7x- 4y=3 3.) Graph y=1/2.

Presentation transcript:

MFM 2P Minds On Integer Review! Calculate the following without using a calculator.

MFM 2P Learning Goal: I can determine slope (m) of a line given two points I can determine the equation of a line given two points Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Lesson 3 – Calculating Slope and the Equation of a Line Determine the equation of this line.

MFM 2P When we find the rise on the graph, we are really looking at the difference between two y values on the line: Rise = y 2 – y 1 ● ● When we find the run on the graph, we are really looking at the difference between two x values on the line: Run = x 2 – x 1 Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P ● ● Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Calculate the slope of the line that passes through these two points: (3, -4) and (0, 3) Calculate the slope of the line that passes through these two points: (6, -2) and (4, 14) Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Calculate the slope of the line that passes through the points (0, 5) and (-3, 6) Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Calculate the slope of the line that passes through the points (2, -2) and (1, 4) Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Calculate the slope of the line that passes through the points (0, 0) and (8, 1) Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Calculate the slope of the line that passes through the points (-3, -5) and (-4, -3) Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Once we know the slope of the line, how can we calculate the y-intercept? (b) y = mx + b Step 1: Sub in what we know - Coordinates of x and y and the slope Step 2: Solve for “b” Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Calculate the y-intercept, “b” of a line that passes through the point (1, 4) and has a slope of 2. What is the equation of this line? Lesson 3 – Calculating Slope and the Equation of a Line

MFM 2P Put it all together. Determine the equation of a line that passes though the points (4, -5) and (-2, -3). Put it all together. Determine the equation of a line that passes though the points (7, 1) and (0, -9). Lesson 3 – Calculating Slope and the Equation of a Line