200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 CompositionsFunctions Slope and Graphs Parallel & Perpendicular.

Slides:

Advertisements

Similar presentations

Algebraically Finiding an Equation of a Line with a Point and Slope.

Advertisements

7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.

Jeopardy Graphing Equations Writing Equations Linear or Not? Perpendicular And Parallel Random Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.

5.7 Parallel and Perpendicular Lines

Question: Find the equation of a line that is parallel to the equation: 3x + 2y = 18.

Bell Assignment Find the slope of the line between the two points. 1.(-1,2) and (2,2) 2.(0,4) and (1, -1) 3.(3,4) and (3,1) Remember the slope formula:

Objective - To write equations of parallel and perpendicular lines.

4.7 Graphing Lines Using Slope Intercept Form

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)

Determine the domain and range of the following relations, and indicate whether it is a function or not. If not, explain why it is not. {(1, -4), (3, 6),

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

Answer: III quadrant. Determine the quadrant(s) in which (x, y) is located so that the conditions are satisfied.

Basic Functions and Their Graphs

Chapter 8 Quiz on Lessons 6 to 8 Get a whiteboard, marker, eraser, or graph paper, and ruler. What’s on the quiz? Copy this down.  Look at a graph and.

2.3 Linear Functions.

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

1-1MONTUEWEDTHUFRI 1-2MONTUEWEDTHUFRI 1-3MONTUEWEDTHUFRI 1-4MONTUEWEDTHUFRI 1-5MONTUEWEDTHUFRI 1-6MONTUEWEDTHUFRI 1-7MONTUEWEDTHUFRI 1-8MONTUEWEDTHUFRI.

Writing Linear Equation 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.

Section 1.1 Slopes and Equations of Lines

1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 2. Write an equation of a line parallel to -3x + y =

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

Warm-Up Pocono Ski Resort offers skiing lessons for $70 per hour and a $15 registration fee. Write an equation that models the total cost, y, of a lesson.

Chapter 2 Sections 1- 3 Functions and Graphs. Definition of a Relation A Relation is a mapping, or pairing, of input values with output. A set of ordered.

Determine whether (2, 4) is a solution for y= 5x-6.

3.6 Finding the Equation of a Line

Chapter 8 Review.

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

CHAPTER TWO REVIEW. QUESTION ONE Is the relation a function? Why or why not?

Warm Up Find the value of m B Writing the Equation of the Line.

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.

Matt 6-7 pm Week 3, Session 2 MATH 1300 SI. Sundays: 7:05-8:05 Mondays: 6:00-7:00 Wednesdays: 6:00-7:00 Morton MATH 1300 SI.

Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:

CompositionsFunctions Slope and Graphs Parallel & Perpendicular.

Graphing Test Review Algebra. Is the equation Linear? xy = 7x + 4 = y ¾ = y xy = 7x + 4 = y ¾ = y No yes yes.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Slope-Intercept Form Point-Slope.

 Find the slope-intercept form, given a linear equation  Graph the line described the slope-intercept form  What is the relationship between the slopes.

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.

Algebra I CAHSEE Review. Slope-Intercept Form  Graphs 1. Which of the following graphs represents the equation ? A.B. C.D.

Warm Up Given: (3, -5) and (-2, 1) on a line. Find each of the following: 1.Slope of the line 2.Point-Slope equation of the line 3.Slope-Intercept equation.

A Review of Linear Equations Standard 1c. Recall that there are four kinds of linear equations Slope-Intercept: The most commonly used one in which m.

Chapter 6 Equations of a line.

Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, even) Quiz : Wednesday, 10/9.

Graphing Test Review Algebra.

2.4 Lines. Slope Find the slope of the line passing through the given points.

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:

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt FunctionsSlopeGraphs.

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):

. 5.1 write linear equation in slope intercept form..5.2 use linear equations in slope –intercept form..5.3 write linear equation in point slope form..5.4.

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

I can determine when lines are parallel and write equations of parallel lines.

Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.

Linear Functions and Slope

A system of two linear equations in two variables represents two lines. The lines can be parallel, intersecting, or coinciding. Lines that coincide are.

Warm – up #4 1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point- slope form? 2. Write an equation of a line parallel.

CHAPTER TWO REVIEW. QUESTION ONE Is the relation a function? Why or why not?

EXAMPLE 2 Determine whether lines are parallel or perpendicular Determine which lines, if any, are parallel or perpendicular. Line a: y = 5x – 3 Line b:

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.

Solving Systems By Graphing. Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept.

Parallel and Perpendicular. 1. What is the slope of y = 3? a. 3 b. 0 c. Undefined d

1 Find the equation of the line that goes through the points (-3, 6) and (-2, 4). y = -2x.

Parallel and Perpendicular Lines

WARM UP Find the equation of the line that passes through (3, 4), (6,8)? Find the slope of the line that passes through (-4,-8), (12,16)? Find the equation.

Chapter 4 Review.

Presentation transcript:

CompositionsFunctions Slope and Graphs Parallel & Perpendicular Lines Regression

Suppose Find

Suppose Find

Suppose Find

Is {(2, 3), (-1, 5), (3, 3), (5, 5)} a function?

Yes

Given find x if f(x) = 10.

Given What is the domain in set-builder notation?

Given What is the domain in set-builder notation?

Find the slope of the line going through

Is a solution to ?

Yes

Write the equation of a line going through the points

Find the x-intercept and y-intercept of.

Find the equation of a line perpendicular to and passing through.

Find the slope of the line perpendicular to

Determine whether the graphs of are parallel.

Not parallel because same line

Write the equation of the line, in slope-intercept form, that goes through the point (2, 8) that is parallel to.

Write the equation of the line, in slope-intercept form, that is perpendicular to 2y + 3x = 6 and goes through the point (3, 10).

Write the equation of a line going through (4, 7) that is perpendicular to the line going through (-2, 3) and (4, 11).

Identify the x-variable and y- variable of the following: Four years after birth a turtle grew to a weight of 51 kg. Ten years after birth the turtle weighed 126 kg. You want to predict weight from age.

x-variable : age y-variable: weight

Find a linear regression equation for the following: Four years after birth, a turtle grew to a weight of 51 kg. Ten years after birth, the turtle weighed 126 kg.

Four years after birth, a turtle grew to a weight of 51 kg. Ten years after birth the turtle weighed 126 kg. Predict the weight of the turtle after 66 years of living.

Four years after birth a turtle grew to a weight of 51 kg. Ten years after birth the turtle weighed 126 kg. How old is a turtle that weighs 301 kg?

Three years after planting, a tree was 5 feet tall. After nine years the tree grew to 15 feet tall. Find a linear regression equation and predict the height of the tree 51 years after planting.