Lesson 1-2 Slopes of Lines. Objective: To find the slope of a line and to determine whether two lines are parallel, perpendicular, or neither.

Slides:



Advertisements
Similar presentations
Parallel & Perpendicular Slopes II
Advertisements

EXAMPLE 1 Write an equation of a line from a graph
1.3 Linear Equations in Two Variables
Don’t forget to show your work!. Slope-Intercept Form Section 3.6.
3.8 Slopes of Parallel and Perpendicular Lines
2.4 Write Equations of Lines
Point-Slope Form Use point-slope form to write the equation of a line. 2.Write the equation of a line parallel to a given line. 3.Write the equation.
Lesson 6.5 Parallel and Perpendicular Lines
7.8 Parallel and Perpendicular Goals: To identify parallel, perpendicular lines and write an equation of a line containing a point and parallel or perpendicular.
2.4.2 – Parallel, Perpendicular Lines
2.2 “Slope & Rate of Change”
Bellwork Partner Activity for graphing.
Determining if Lines are Parallel or Perpendicular Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical.
Writing equations in slope intercept form
3.3 Slope.
Section 1.1 Slopes and Equations of Lines
WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages
Section 6.6 What we are Learning:
Graphing Lines. Slope – Intercept Form Graph y = 2x + 3.
For the line that passes through points (-4, 3) and (-2, 4).
Slopes and Equations of Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 2.
Linear Functions Slope and y = mx + b. Remember Slope… Slope is represented by m m = 0 Horizontal Line Vertical Line Slope up to the right Slope up to.
Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.
4.4 Slope of a Line. Slope – a measure of how steep a line is. Slope is the ratio of the vertical change to the horizontal change of a non- vertical line.
Geometry Lesson 3 – 4 Equations of Lines Objective: Write an equation of a line given information about the graph. Solve problems by writing equations.
Notes A7 Review of Linear Functions. Linear Functions Slope – Ex. Given the points (-4, 7) and (-2, -5) find the slope. Rate of Change m.
12/23/ : Slopes of Lines 1 Expectation: You will calculate slopes of lines parallel and perpendicular to given lines.
Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 1 )
3-8 Slopes of Parallel and Perpendicular Lines. Slopes of Parallel Lines If two nonvertical lines are parallel, then their slopes are equal If the slopes.
Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.
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:
2.4 More about Linear Equations
Lesson 1-2 Slopes of Lines Object
Parallel and Perpendicular Lines. 1. Fill in the chart with the missing slopes. (similar to p.234 #22) Slope of the Given Line Slope of a Line Parallel.
Parallel and Perpendicular Lines. Overview This set of tutorials provides 32 examples that involve finding the equation of a line parallel or perpendicular.
3.4 Find and use Slope of Lines. Slope Slope is: Rate of change A ratio of rise and run The change in Y over the change in X The m is Y = mX +b.
Precalculus Sec 1.3 Find the equation of a given line Telephone Bill TimeCost
1. Write the equation in standard form.
Lesson 5.6 Point-Slope Form of the Equation of a Line
Lines Slope measures the “steepness” of a line. Slope or
3.8 Slopes of Parallel and Perpendicular Lines
Warm Up The warm up worksheet is on the podium. Do the odds only. Answers will be up shortly. DO NOT LOSE THIS WORKSHEET!!! After the warm up, begin the.
Geometry Today: Check Up 3.4 Instruction Practice
Slopes and Equations of Lines
Algebra 1 Section 5.2 Write equations of lines given slope and a point
Parallel and Perpendicular Lines 4.4.
Precalculus Section 1.2 Find and apply the slope of a line
Warm-up 3-7: Survey.
Chapter 1: Lesson 1.3 Slope-Intercept Form of a Line
Objective The student will be able to:
2.4 Linear Functions: Graphs and Slope
Parallel Lines: SLOPES ARE THE SAME!!
Parallel Lines •. Non-vertical lines are. parallel if and only if they
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
2.5 Linear Equations.
Warmup Find the slope of the line passing through the points. Then tell whether the line rises, falls, is horizontal, or is vertical. 1. (–3, 5),(5,
EXAMPLE 1 Write an equation of a line from a graph
Math Humor Q: How do the geometry teacher and track coach wake up their son? A: It’s time to rise and run!!!
Warm Up Find the value of m undefined.
3.4 Find and Use Slopes of Lines
3-4 Equations of Lines Forms of Equations
Homework Lesson 4.03_ pg 287_ #8-11.
6-6 Parallel and Perpendicular Lines
6-2 Slope-Intercept Form
PERPENDICULAR LINES.
4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.
Writing Linear Equations
Warm Up x – 5 = 0 Write the Standard Form equation of
3-6 Slopes of Parallel & Perpendicular Lines M11.B A
Presentation transcript:

Lesson 1-2 Slopes of Lines

Objective:

To find the slope of a line and to determine whether two lines are parallel, perpendicular, or neither.

Slope

A number measuring the steepness of the line relative to the x-axis.

Slope

Horizontal lines have a slope of ???

Slope Vertical lines have a slope of ???

Slope Lines with a positive slope slant ???

Slope Lines with a negative slope slant ???

Slope The slope of the equation y = mx + k is ???

Slope The slope of the equation y = mx + k is ??? This is called slope- intercept form.

What are the slope and y – intercept of the line 7x + 13y = 26?

Slope What do you know about the slopes of parallel lines?

Slope What do you know about the slopes of perpendicular lines?

A line l has equation x + 2y = 5. What is the slope of a line (a) parallel to l? (b) perpendicular to l?

The equations of three lines are given. Which lines are parallel and which are perpendicular? a. y = ¾ x – 7 b. 4x + 3y = 10 c. 3x – 4y = 11

Find the value of k if the line joining (2, k) and (4, 5) and the line y = 3x + 1 are (a) parallel, (b) perpendicular.

Assignment: Pgs C.E.  1-14 all, W.E.  1-27 odd