Section 1.2 Straight Lines.

Slides:

Advertisements

Similar presentations

Lines, Lines, Lines!!! ~ Horizontal Lines Vertical Lines.

Advertisements

Linear Functions.

1.3 Linear Equations in Two Variables

A3 2.4 Parallel and Perpendicular Lines, Avg. rate of change

Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?

Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the.

Writing Linear Equation in Standard Form

Linear Functions.

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)

Equations of lines.

1.3 Linear Equations in Two Variables Objectives: Write a linear equation in two variables given sufficient information. Write an equation for a line.

Trigonometry/ Pre-Calculus Chapter P: Prerequisites Section P.3: Lines in the Plane.

Linear Models & Rates of Change (Precalculus Review 2) September 9th, 2015.

3-7 Equations of Lines in the Coordinate Plane

Slopes of Parallel and Perpendicular Lines (3.6) Objective: To relate slope of parallel and perpendicular lines, and to write equations of parallel and.

What are the characteristics of Lines in the Plane? Section P4 (new text)

TSW calculate slope given two points TSW calculate slope for parallel/perpendicular lines TSW write linear equations given slope and y-intercept TSW write.

Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.

Objectives: Define parallel and perpendicular lines Find Equations of parallel and perpendicular lines.

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

Algebra 2 Chapter 2.4b Writing Linear Equations Target Goals: 1.Write an equation of a line parallel or perpendicular to a given line.

Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).

Distance, Slope, & Linear Equations. Distance Formula.

Write Equations of Parallel and Perpendicular Lines

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

Copyright © 2006 Brooks/Cole, a division of Thomson Learning, Inc. 1.2 Straight Lines Slope Point-Slope Form Slope-Intercept Form General Form.

WRITE THE EQUATION OF THE LINE THROUGH THE GIVEN POINTPER PARALLEL TO THE GIVEN LINE.

1.3 Linear Equations in Two Variables. I. Using Slope.

Algebra 1 Section 5.3 Write the equation of a line given 2 points on the line Write the equation of the line that passes through the points (7,4) and (3,12)

Section 2.2 – Linear Equations in One Variable

5.6 Parallel and Perpendicular Equations

1. Write the equation in standard form.

Linear Functions.

Linear Functions.

Geometry Review on Algebra 1

POINTS AND LINES ON THE COORDINATE PLANE

Ex 2: Graph the line with slope 5/2 that passes through (-1, -3)

Lines Slope measures the “steepness” of a line. Slope or

1.5 Writing Equations of Parallel and Perpendicular Lines

Slope Slope is the steepness of a straight line..

Lines, Slopes, Equations

Lesson 3-6 Part 2 Point-Slope Equation.

Lesson 2-2 Linear Equations.

Parallel and Perpendicular Lines 4.4.

Precalculus Section 1.2 Find and apply the slope of a line

Linear Functions.

Linear Functions.

MAT 150– Algebra Class #4 Today’s Topics: Writing Equations of Lines

Linear Functions.

Parallel Lines •. Non-vertical lines are. parallel if and only if they

Algebra 1 Review Linear Equations

Distance Formula and Writing Linear Equations

3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.

Writing Equations of Lines

Writing Linear Equations Given Two Points

2.5 Linear Equations.

Linear Functions.

Graphing Linear Equations

The Point-Slope Form of the Equation of a Line

3.1 Reading Graphs; Linear Equations in Two Variables

Parallel and Perpendicular

Given m and (x, y) Substitute point for x and y; substitute m for slope; solve for b. Given (x1, y1) and (x2, y2) Find slope; substitute one point for.

Linear Functions.

Linear Functions.

Linear Functions.

Linear Functions.

3-4 Equations of Lines Forms of Equations

Honors Algebra II with Trigonometry Mr. Agnew

Writing Linear Equations

0.2.1 Linear Functions.

Presentation transcript:

Section 1.2 Straight Lines

Straight Lines Slope Point-Slope Form Slope-Intercept Form General Form

Slope – the slope of a non-vertical line that passes through the points is given by: and Ex. Find the slope of the line that passes through the points (4,0) and (6, -3)

Slope Two lines are parallel if and only if their slopes are equal or both undefined Two lines are perpendicular if and only if the product of their slopes is –1. That is, one slope is the opposite sign and reciprocal of the other slope (ex. ).

Point-Slope Form An equation of a line that passes through the point with slope m is given by: Ex. Find an equation of the line that passes through (3,1) and has slope m = 4

Slope-Intercept Form An equation of a line with slope m and y-intercept can be given by: Ex. Find an equation of the line that passes through (0,-4) and has slope .

General Form The general form of an equation of a line is given by: Where A, B, and C are constants and A and B are not both zero. *Note: An equation of a straight line is a linear equation and every linear equation represents a straight line.

Vertical Lines Can be expressed in the form x = a x = 3

Horizontal Lines Can be expressed in the form y = b y = 2

Ex. Find an equation of the line that passes through the point (–2, 3) and is parallel to the y – axis. y-axis (–2, 3) Vertical Line: x = –2