5.1 Slope P256-262.

Slides:



Advertisements
Similar presentations
WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.
Advertisements

Parallel Lines. We have seen that parallel lines have the same slope.
The equation of a line - Equation of a line - Slope - Y intercept
Example 3 Each day, an elephant eats 5 pounds of food for every 100 pounds of its body weight. How much does a 9300 pound elephant eat per day? SOLUTION.
ALGEBRA 1 CC Find Slope and x- and y-intercepts. Vocabulary The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal.
 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.
Solve an equation with variables on both sides
Use the cross products property EXAMPLE 1 Write original proportion = x 6 Solve the proportion =. 8 x 6 15 Cross products property Simplify. 120.
Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =
EXAMPLE 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.
Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.
5-1 Slope Objectives: 8.EE.5 I can find the rate of change given two ordered pairs S. Calahan 2008.
Solve a radical equation
4-1B The Slope Formula First a quick review of the types of slope!
Slope Lesson 2-3 Algebra 2.
Lesson 6-4 Example Example 3 Determine if the triangle is a right triangle using Pythagorean Theorem. 1.Determine which side is the largest.
CHAPTER 3, 4, & 5 REVIEW January 10, 2012.
Finding a Quadratic Equation from Three Coordinates.
Algebra 1 Section 4.2 Slope and Direct Variation.
Algebra 1 Ch.10 Notes Page 81 P Factoring to Solve Quadratic Equations.
Lesson 5 Contents Glencoe McGraw-Hill Mathematics Algebra 2005 Example 1Solve an Absolute Value Equation Example 2Write an Absolute Value Equation.
Rate of Change and Slope Objectives: Use the rate of change to solve problems. Find the slope of a line.
EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = = Simplify. Substitute.
Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.
Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.
Ch : Solving Systems of Equations Algebraically.
Use the substitution method
Substitute the coordinates of the two given points into y = ax .
Finding Linear Equations Section 1.5. Lehmann, Intermediate Algebra, 4ed Section 1.5Slide 2 Using Slope and a Point to Find an Equation of a Line Find.
Formulas & Functions Formula – an algebraic expression that relates two or more real-life quantities.
Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.
Algebra Parallel lines have the same ___________ but different _______________. slope y-intercepts Determine whether the graphs of each pair of.
5.5 Direct Variation Pg Math Pacing Slope Review.
Lesson 5.2 Direct Variation Direct variation y = kx Where k is the constant of variation.
6-2 Solving Systems Using Substitution Hubarth Algebra.
Algebra with Whole Numbers Algebraic Notation. Simplify.
 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.
Use Linear Equations in Slope- Intercept Form Lesson 5.2 OBJ: to write an equation of a line using points on the line.
Holt McDougal Algebra Solving Equations with Variables on Both Sides Algebra 1 Review.
Finding the Equation of a Line Using Point Slope Formula
Ch. 8.5 Exponential and Logarithmic Equations
Writing Linear Equations in Slope-Intercept Form
STANDARD EQUATION OF A LINE: Ax + By = C
3.3: Point-Slope Form.
Completing the Square 8
Solve for variable 3x = 6 7x = -21
5-1 Slope October 25, 2010 What do you think of when you hear the word slope? Are there different types of slopes?
(Sections 4-5 pt. 1 & 2, 4-6 pt. 1, 4-7, 4-8 pt. 1 & 2)
Solving By Substitution
6-2 Solving Systems Using Substitution
Using the Slope Formula
Graphing Linear Equations
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
3.3 Rate of Change and Slope
7.2 Solving Systems of Equations Algebraically
Objective The student will be able to:
Writing Linear Equations Given Two Points
Example 1A: Graphing by Using Slope and y-intercept
Completing the Square Algebra Review.
Using Slopes and Intercepts
Substitute either point and the slope into the slope-intercept form.
ALGEBRA TWO Section Writing Equations of Lines
Learn to combine like terms in an expression.
Slope or Rates of Change
5.5 Direct Variation Pg. 326.
Write a proportion that compares hours of work to pay.
EXAMPLE 4 Solve proportions Solve the proportion. ALGEBRA a x 16
Linear Functions and Slope-Intercept Form Lesson 2-3
Slope-Intercept Form.
Presentation transcript:

5.1 Slope P256-262

Slope Formula Slope Definition Formula Ratio of change in y-coordinates to the change in x-coordinates Algebraically, for two points

Using Slope Formula Find Slope Of Line Given 2 Points Find slope of line that passes through Substitute Simplify

Using Slope Formula Find Slope Of Line Given 2 Points Find slope of line that passes through Substitute Simplify

Using Slope Formula Find Slope Of Line Given 2 Points Find slope of line that passes through Substitute Simplify

Using Slope Formula Find the value of r so the line through Find (r, 6) and (10, -3) has slope Find Coordinates Given Slope Substitute Simplify Now solve for r.

Using Slope Formula Find cross products. Find Coordinates Given Slope Simplify Add 30 Divide by 3

Using Slope Formula Find the value of r so the line through Find (6, 3) and (4, r) has slope Find Coordinates Given Slope Substitute Simplify Now solve for r.

Using Slope Formula Find cross products. Find Coordinates Given Slope Simplify Add 6 Divide by 2

Rate of Change Rate of Change Definition Slope Formula Ratio of change in quantity to the change in time Algebraically, this is the slope.

Using Slope Formula Find Rate of Change In 1990, the amount spent in U.S. restaurants was $239 billion. In 2000, the amount spent was $376 billion. Find the rate of change from 1990 to 2000. Find points Find slope

Assignment Name P259: 8-12even, 18-26even, 38-44 even Make answer key on right side of paper. Show work on body of paper Selected problems will be graded for accuracy Name Ch5 #1 P259: 8-12e, 18-26e, 38-44e 8) Work 10) Work 12) Work 18) Work 20) Work 22) Work Etc. 8) Ans 10) Ans 12) Ans 18) Ans 20) Ans 22) Ans Etc.