Equations Of Slope Graphing Day 3.

Slides:



Advertisements
Similar presentations
Linear Functions.
Advertisements

Parallel and Perpendicular Lines
Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?
Unit 1 Basics of Geometry Linear Functions.
2.2 “Slope & Rate of Change”
y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.
Determining if Lines are Parallel or Perpendicular Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical.
Finding Equation of Lines Parallel and Perpendicular to Given Lines Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals.
Linear Functions.
Summer Assignment Review
Bell Ringer Write an equation in slope – intercept form that is parallel to the line 5
Graphing Lines. Slope – Intercept Form Graph y = 2x + 3.
{ 2.4 Writing Equations of Lines.  Slope-Intercept Form:  Standard Form: Forms of Lines.
1.6 Warm Up 1.Find the slope between the points: 1.(9,3) & (-1, -6) _______________ 2.(4, -3) & (0, -3) _______________ 3.(2, 1) & (-5, 8) ________________.
Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.
2.4 Lines. Slope Find the slope of the line passing through the given points.
Distance, Slope, & Linear Equations. Distance Formula.
Lesson 3-7: Parallel & Perpendicular Lines Objectives Students will: Use equations to determine if two lines are parallel or perpendicular Write an equation.
Objective: To write equations of parallel and perpendicular lines.
Write Equations of Parallel and Perpendicular Lines
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.
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.
Parallel and Perpendicular. 1. What is the slope of y = 3? a. 3 b. 0 c. Undefined d
5.6 Parallel and Perpendicular Equations
Linear Functions.
Linear Functions.
3.6 Finding the Equation of a Line
If and are slopes of parallel lines, then .
4-4 Parallel and Perpendicular Lines
Lines, Slopes, Equations
Parallel and Perpendicular Lines 4.4.
Parallel and Perpendicular Lines
Linear Functions.
Linear Equations in two variables
Parallel and Perpendicular Lines
Warm-up 3-7: Survey.
Parallel and perpendicular lines
Coordinate Plane Sections 1.3,
Linear Functions.
3.4 Notes: Equations of Lines
Parallel Lines: SLOPES ARE THE SAME!!
Parallel Lines •. Non-vertical lines are. parallel if and only if they
PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane
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.
TEST 1-4 REVIEW 381 Algebra.
5-6 Parallel and Perpendicular Lines
Section 1.2 Straight Lines.
Writing the Equation of a Line from a Graph
m = 1 undefined Warm up Find the slopes of the following points:
Linear Functions.
4-4 Parallel and Perpendicular Lines
Parallel and Perpendicular
3-5: Vocabulary rise, run, slope point-slope form of a line
3-5: Vocabulary rise, run, slope point-slope form of a line
PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane
SYSTEMS.
Linear Functions.
Linear Functions.
Linear Functions.
Warm up Write an equation given the following information.
Linear Functions.
TEST 1-4 REVIEW 381 Algebra.
PERPENDICULAR LINES.
Equations Graphing Lesson 4.
Writing Linear Equations
Warm Up x – 5 = 0 Write the Standard Form equation of
Slope Graphing Day 2.
Presentation transcript:

Equations Of Slope Graphing Day 3

SLOPE-Intercept Review Peanut-Butter Jelly Time! SLOPE-Intercept Review

opposite the same reciprocals Equations – Notes

zero undefined Equations – Notes x = 5 y = 5 x = -3 y = 1 y-axis

equation slope coefficient x-term Equations – Notes

Are these lines parallel, perpendicular, or neither (oblique)? y = -3x and y = 3x Are the slopes the same? No Oblique Are the slopes the opposite reciprocals? No Class Example 1

Plot two points that would lie on the line perpendicular to line CD through point X. −6 9 = −2 3 Original slope -6 Opposite Reciprocal 𝟑 𝟐 Perpendicular slope +9 Any two of the purple dots are correct. Class Example 2

Line p contains the points (0, 2) and (-1, 5) Line p contains the points (0, 2) and (-1, 5). Which of the following pairs of points define a line parallel to line p? A. (4, 3) and (5, 6) B. (-1, 0) and (2, 1) C. (9, -2) and (3 ,0) D. (3, -1) and (4, -4) 5−2 −1−0 = 3 −1 =−3 Original slope 6−3 5−4 = 3 1 =3 A. Neither Oblique 1−0 2−−1 = 1 3 Opposite Reciprocal B. Perpendicular 0−−2 3−9 = 2 −6 = 1 −3 C. Neither Oblique −4−−1 4−3 = −3 1 =−3 Parallel D. Same Class Example 3

Student Example 1 Which line below would be parallel to x = 4? A. y = 4 B. x = -2 C. y = 4x D. y = -¼x Student Example 1

Plot two points that would lie on the line parallel to line CD through point X. Student Example 2

Line p contains the points (-2, 1) and (-2, 6) Line p contains the points (-2, 1) and (-2, 6). Which of the following pairs of points define a line perpendicular to line p? A. (4, 3) and (7, 6) B. (-1, 0) and (2, 2) C. (9, 0) and (3, 0) D. (-3, -1) and (-3, -4) Student Example 3