Writing Linear Equations

Slides:



Advertisements
Similar presentations
Objective - To graph linear equations using the slope and y-intercept.
Advertisements

Parallel & Perpendicular Slopes II
2.4 Writing the Equation of a Line
2.4 Write Equations of Lines
Parallel and Perpendicular Lines
5.5 Parallel and Perpendicular Lines SWBAT verbally tell me how the slope of parallel lines and perpendicular lines are related. They can find the equation.
4.4 – Parallel & Perpendicular Lines. Parallel Lines.
Bellwork 1. Given the two lines: y = 4x -2 and y =-1/4x +3. Are the two lines parallel, perpendicular or neither? 2. Write the equation of the line who.
4.7 Graphing Lines Using Slope Intercept Form
Questions from 1.5 HW???.
Writing Linear Equation using slope-intercept form.
 Graph the following two lines:  1.  2.  Write an equation of the line that passes through (-3,3) and is parallel to the line y=-2x+1.
TODAY IN ALGEBRA…  Warm up: Calculating Slope  Learning Goal: 5.1b You will write equations of lines in slope intercept form given two points  Independent.
EXAMPLE 1 Write an equation of a line from a graph
Write an equation given two points
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.
Drill #19 Determine the value of r so that a line through the points has the given slope: 1. ( 2 , r ) , ( -1 , 2 ) m = -½ Find the slope of the following.
2.4 – Writing Linear Equations. 2.4 – Writing Linear Equations Forms:
Writing Equations of a Line. Various Forms of an Equation of a Line. Slope-Intercept Form.
Section 2.5 Other Equations of Lines  Point-Slope Form (y – y 1 )=m(x – x 1 )  Special pairs of lines: Parallel Lines m 1 = m 2 Perpendicular lines m.
WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages
2.4 Essential Questions What is the point-slope form?
Module 5 Parallel Lines and Perpendicular Lines. Key Concepts of a Line The graph of a linear function of the form y = mx + b is a straight line with.
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.
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
Algebra 5.5 Point-Slope Form. Point-Slope Form A formula used to find the linear equation when given a point on the line and the slope of the line. Point-Slope.
Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.
. 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.
Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.
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 )
6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.
When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y- intercept for each equation. 1. y = 3x y = ½.
Linear Functions and Slope
Drill #23 Determine the value of r so that a line through the points has the given slope: 1. ( r , -1 ) , ( 2 , r ) m = 2 Identify the three forms (Point.
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.
Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information.
1. Write the equation in standard form.
5.5 Parallel and Perpendicular Lines
Linear Equations Chapter 5.
Graphing Lines Using Slope-Intercept Form
Slope Intercept form. Geometry Unit 2-3, 2-4 Equations of lines Parallel and perpendicular slopes.
Lines Slope measures the “steepness” of a line. Slope or
Parallel and Perpendicular Lines
Thursday, February 12 Find the equation of a line given ordered pairs.
Parallel and Perpendicular Lines
2.4 Writing the Equation of a Line
Linear Models and Rates of Change
Writing Equations of Lines
Algebra 1 Section 6.5.
Parallel and Perpendicular Lines
Warm-up: Graph the circle with equation 3x2 + 3y2 + 12x – 12 = 6y
3.5 Write and Graph Equations of Lines
2.4 Writing the Equation of a Line
8/29/12 Writing the Equation of a Line
Writing the Equation of a Line
Systems of Linear Equations
Warm Up – August 16, 2017 Find the slope of the line through each pair of points. (0, 2) and (3, 4) (-2, 8) and (4, 2) (3, 3) and (12, -15) Write the following.
Warmup.
5.6 – point slope formula Textbook pg. 315 Objective:
y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form
5.8 – Graphing standard form
8-6 Slope-Intercept Form
7.1 solving linear systems by graphing
Lesson: 4 – 6 Equations of Lines
5.1 Writing Linear equations in slope intercept form
Review Is y = 3x a direct variation. If so, what’s the constant and what’s the slope? X and y vary directly. Write an equation that relates x and y. X.
2.4 Writing the Equation of a Line
Chapter 4 Review.
3.5 Write and Graph Equations of Lines
Presentation transcript:

Writing Linear Equations Objective: Students will learn a variety of ways to find the slope and y-intercept. They will use those to construct an equation.

Write equation given slope/intercept Use slope intercept form y = mx + b Slope: 1, y-int: 3 Slope: 2/3, y-int: -8 Slope: -8, y-int: 5

Write equation given slope/intercept Slope: -3, y-int: 12 Slope: 3/2, y-int: 3 Slope: 5/6, y-int: -6 Slope: -1, y-int: -20

Equation from ordered pairs-t,st. (-2, 13) (0, 1) (0, -5) (3, -3) (0, 9) (3, 15) (0, -3) (2, -2)

Write equation from graph Find slope Find y-int Write equation

Write equation from graph-st Blue: Red: Green:

Equations for parallel/perpendicular lines-st Write equation of a line parallel to y = 2x + 1 and passes through (0,4) Write equation of a line perpendicular to y = -x – 4 and passes through (0,7)

Equations for parallel/perpendicular lines y = 4x – 8 and passes through (0,2) Y = 1/2x + 2 passes through (0, -3) perpendicular y = -5x + 1 passes through (0, -9) Y = 2/3x + 2 passes through (0, 2)

Wrap-up Question/comment Ic: review ?’s Hw: workbook pg. 109, #’s: 1-12 and quiz