3.7 Finding equations of lines.

Slides:



Advertisements
Similar presentations
3.8 Slopes of Parallel and Perpendicular Lines
Advertisements

3.8 Slopes of Parallel and Perpendicular Lines
Writing Parallel and Perpendicular Lines Part 1. Parallel Lines // (symbol) All parallel lines have the same slope. Parallel lines will NEVER CROSS. Since.
Parallel & Perpendicular Lines
Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.
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.
Warm-upWarm-up 1. Write the equation of a line given m = 1/4 and thru the point (12,-6). 2. Write the equation of a line thru these two points. A(6,15)
3.8 Slopes of Parallel and Perpendicular Lines
2.4.2 – Parallel, Perpendicular Lines
Writing Linear Equation in Standard Form
Parallel & Perpendicular Lines
Parallel & Perpendicular Lines Parallel Lines – have the SAME slope Perpendicular Lines – have RECIPROCAL and OPPOSITE sign slopes.
Determining if Lines are Parallel or Perpendicular Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical.
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; Building Linear Functions January 22, 2007.
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.
Slopes of Lines Chapter 3-3.
Section 1.1 Slopes and Equations of Lines
Slopes of Parallel and Perpendicular Lines (3.6) Objective: To relate slope of parallel and perpendicular lines, and to write equations of parallel and.
Graphing Lines. Slope – Intercept Form Graph y = 2x + 3.
Honors Geometry Section 3.8 Lines in the Coordinate Plane.
Honors Geometry Section 3.8 Lines in the Coordinate Plane.
Objectives: Define parallel and perpendicular lines Find Equations of parallel and perpendicular lines.
In your math notebook find the value of x so that the lines are parallel.
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
Warm – up #6. Homework Log Fri 11/6 Lesson 3 – 4 Learning Objective: To write equations in standard form & graph piecewise functions Hw: #307 Pg. 192.
Distance, Slope, & Linear Equations. Distance Formula.
2.6 Extension Writing Equations of Parallel and Perpendicular Lines.
Warmups Write an equation in standard form: (1,2)(5,-2)
Objective: To write equations of parallel and perpendicular lines.
Parallel and Perpendicular Lines. Parallel Lines Slope is the same y-intercept is different.
I can determine when lines are parallel and write equations of parallel lines.
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.
Daily Homework Quiz Graph each line. - x 3 2 y = 3– 1. y = 2x2x ANSWER.
The Equation of a Line.  Slope – Intercept form: y = mx + b ◦ Use when you are given the slope and (0, b) or if you are given the graph of the line.
WRITE THE EQUATION OF THE LINE THROUGH THE GIVEN POINTPER PARALLEL TO THE GIVEN LINE.
Aim: How do we find points of intersection? What is slope? Do Now: Is the function odd, even or neither? 1)y - x² = 7 2)y = 6x - x⁷ 3)y = √ x⁴ - x⁶ 4)Find.
5.6 Parallel and Perpendicular Equations
Geometry Review on Algebra 1
1.5 Writing Equations of Parallel and Perpendicular Lines
3.8 Slopes of Parallel and Perpendicular Lines
Lesson 3-6 Part 2 Point-Slope Equation.
3.4 (Day 1) Linear Equations
3.1 Polynomial & Exponential Derivatives
Graph 3y – 3x = -15 and 6y – 12x = 12 on the same coordinate plane
Parallel and Perpendicular Lines 4.4.
Parallel and Perpendicular Lines
Chapter 2 Section 2 Part II
3.4 Notes: Equations of Lines
Parallel Lines: SLOPES ARE THE SAME!!
Parallel Lines •. Non-vertical lines are. parallel if and only if they
Geometry Agenda 1. ENTRANCE 2. Go over Practice
Section 5 – Writing Equations of Parallel and Perpendicular Lines
2.5 Linear Equations.
Objectives Identify and graph parallel and perpendicular lines.
Section 1.2 Straight Lines.
m = 1 undefined Warm up Find the slopes of the following points:
Parallel and Perpendicular
Section 3-8 Slopes of Parallel and Perpendicular Lines
Teacher’s note: Slides 2-4 are optional of course. I thought it was a good problem to quickly review slope. Pacing: 2 days.
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.
4.3 Parallel and Perpendicular Lines
3.4 Find and Use Slopes of Lines
3.8 Slopes of Parallel and Perpendicular Lines
6-6 Parallel and Perpendicular Lines
PERPENDICULAR LINES.
Writing Linear Equations
3-6 Slopes of Parallel & Perpendicular Lines M11.B A
Presentation transcript:

3.7 Finding equations of lines.

Ex 1 Find the equation of a line thru 2 points  

Ex 2  

Ex 3  

How to find the vertical and horizontal lines thru any point?  

 

H.W. pg 194 30-41 all and W.S.

3.8 Slopes of Parallel and Perpendicular lines.

Rules: #1 all vertical lines or horizontal lines are parallel. #2 Any other lines are ll , if they have equal slopes. #3 Any one vertical line and one horizontal line are perpendicular. #4 Any other lines , if the slopes multiply and equal -1 they are perpendicular.

#5 IN other words perpendicular slopes are opposite reciporcal #5 IN other words perpendicular slopes are opposite reciporcal. (or flip the slope and change the sign) love Bonin

Quick Review : slope equation  

Example #2 Find the slope of each pair of points line p (-4,2) (0,-4) and line t (-5,-3) (4,3). Are they Parallel , perpendicular or neither?

Find the equation of lines.  

Find the equation of lines.  

H.W. pg 201 7-21 odd show all work! 23-26 all