Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x.

Slides:

Advertisements

Similar presentations

3.7 Equations of Lines in the Coordinate Plane

Advertisements

Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.

Linear Functions.

~ Chapter 6 ~ Algebra I Algebra I Solving Equations

1.4 Lines Essential Question: How can you use the equations of two non-vertical lines to tell whether the lines are parallel or perpendicular?

Slope Intercept Form.

Linear Functions.

Graphing Lines Dr. Carol A. Marinas.

LT: I can graph and write equations of lines

Section 4.7: Graphing Lines using Slope-Intercept Form Int. Math I.

Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)

Bell Work Solve for “y” 1.) 3x – 2y = -8 2.) 5x – y + 12 = 3x ) 3x – 4y = -7y – 12.

Slope and Linear Equations

Introduction To Slope. Slope is a measure of Steepness.

{ Graphing Linear Equations And Inequalities.  Create an x y chart.  Pick the x’s that you would like to use.  You must pick at least three, you may.

Slope-Intercept Form Linear Equations.

1.2 Linear Equations in Two Variables

3.2 Graphing Functions and Relations

Graphing Linear Equations. Linear Equation An equation for which the graph is a line.

1 What you will learn today 1. Review of slope 2. How to determine slope 3. How to graph a linear equation in y = mx + b form 4. Slopes of parallel and.

Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.

Introduction To Slope. Slope is a measure of Steepness.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.

3-7 Equations of Lines in the Coordinate Plane

Warm UP: Solve and check: 1) 3n – 7 = 262) 3(-4x + 2) = 6(2 + x) Solve and graph each solution on a number line: 3) 5p > 10 or -2p ≤ 10 Solve and check:

Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.

Slope  The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points.

SLOPE. What does slope measure? Slope measures the steepness of a line.

Introduction To Slope. Slope is a measure of Steepness.

0.3 Linear Inequalities Aug 29, Graphing x = # Ex. Graph x = -3 The x coordinate is -3 no matter what the value of y is. xy Choose any.

Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality.

2-3 LINEAR FUNCTIONS AND SLOPE- INTERCEPT FORM. OBJECTIVES To graph linear equations –Linear function- a function whose graph is a line To write linear.

Remember: Slope is also expressed as rise/run. Slope Intercept Form Use this form when you know the slope and the y- intercept (where the line crosses.

Introduction To Slope. Slope is a measure of Steepness.

Linear Functions.

Linear Functions.

Graphing Linear Equations

Linear Equations in Two Variables

Ex 2: Graph the line with slope 5/2 that passes through (-1, -3)

Slope-Intercept and Standard Form of a Linear Equation.

5-6 Graphing Linear Inequalities in the Coordinate Plane

Graphing Linear Equations

3.1 Graphing in 2-D Coordinates

How do we graph linear equations?

Graphing Linear Equations

Linear Functions.

Linear Functions.

Equations of Lines in the Coordinate Plane

Linear Functions.

Introduction To Slope.

Introduction To Slope.

5-6 Graphing Linear Inequalities in the Coordinate Plane

Introduction To Slope.

Linear Functions.

Linear Functions.

Linear Functions.

Linear Functions.

Slope Graphing Writing Equations of lines Parallel and perpendiclar

7.5 Slope Pg. 497.

Introduction To Slope.

Introduction To Slope.

Linear Functions.

Graphing Linear Equations

Introduction To Slope.

Introduction To Slope.

Introduction To Slope.

Graphing Linear Inequalities

Introduction To Slope.

Presentation transcript:

Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) Graphing Linear Equations

Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) m slope: rate of change (ratio) = x Greek letter "delta" means change y = change in y (vertical change) change in x (horizontal change) = run rise = up/down right + _ pt.1 (x1, y1) pt.2 (x2, y2) m = y2 - y1 x2 - x1 Slope Formula OPEN (5,7) (2,-2)

Unit 3: Slope Foldable Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) Graphing Linear Equations positive negative zero undefined Puff Puff! Nice!This is ZERO fun! Oh NO or UNDEFINDED!!! or "NO Slope" m = +n m = -n m = 0 or m = --- 0n0n m = undefined or m = ---- n0n0 Positive Negative Zero Undefined n n y = x y = -x y = n (no x)x = n (no y) 0 in the denominator 0 in the numerator OPEN

Unit 3: Slope Foldable Slope & Slope Formula Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) Graphing Linear Equations Graphing y = mx + b slope y intercept (crosses y axis) 1) starting point 2) directions Steps to Graph 1) Plot "b" (1st point) on y axis 2) Use "m" from b to plot 2nd point. 3) Connect the dots (2 points). OPEN example y = 3/4x - 2 m = 3/4 b = -2 up 3 right 4

Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) Graphing Linear Equations Graphing in Standard Form 1) Find x int: Set y = 0 & solve for x. 2) x int = ( __, 0) Plot x intercept on x axis 4) y int = ( 0, __) Plot y intercept on y axis 5) Connect the dots (x & y intercepts). 3) Find y int: Set x = 0 & solve for y. 3x + 4y = 12 OPEN x y

Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Point-Slope Form: y - y1=m(x - x1) (2 points) Graphing Linear Equations example m = -1/4 y - y1=m(x - x1) (x1, y1) point = (-2, 3) graph point & slope write equation in point-slope form down 1 right 4 y - 3 =-1/4(x + 2) OPEN

Graphing Linear Inequalities 3 Steps 1) 1st 2 steps of: graph y = mx + b 2) Connect Points: > < (open) dotted line > < (closed) solid line 3) Shade "True" Side: Test Point (0,0) > > "Greater" shade above (right) < < "Less" shade below (left) Examples a) y < 1/2 x + 3 b) y > -2x + 1 (BACKSIDE of Foldable)