Loading presentation...

Present Remotely

Send the link below via email or IM

Present to your audience

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation
• A maximum of 30 users can follow your presentation
• Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

LINEAR FUNCTIONS

A simplified lesson plan presentation that explain in detail linear functions and gives examples along with extra- practice.
by

Jasmine Asad

on 17 March 2013

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of LINEAR FUNCTIONS

An Overview LINEAR FUNCTIONS: *Define linear functions.
*Identify parent function.
*Examine 3 types of linear
equations.
*Find slope.
*Differentiating between
perpendicular/parallel lines.
*Write equations passing
through points.
*Graph linear equations. Objectives Parent Function > y=x Linear Function: a function with a line graph. Change of y SLOPE PARALLEL V.S PERPENDICULAR LINES By: Jasmine Asad
Grade 10C Vocabulary linear function
slope
y-intercept
x-intercept
point-slope form
standard form
slope-intercept form
linear term
constant Define y-intercept: point that intersects the y-axis x-intercept: point that intersects the x-axis (0,0) Change of x OR Rise Run Determines how slanted a line is. To find slope using 2 points: (y2-y1) (x2-x1) Example: Find the slope of line with the points (1,5) and (0,2) (y2-y1) (x2-x1) Plug in co-ordinates Example: Find the slope of line with the points (1,5) and (0,2) (y2-y1) (x2-x1) Plug in co-ordinates (5-2) (1-0) Simplify m= m= m=3 DIFFERENTIATE PARALLEL: PERPENDICULAR: Used in non-vertical lines. *Same slope
*May have diff. y-intercept Example: Write an equation of the line passing through (-2,1) and ll to y=-3x + 1 1- Plug in same slope and the co-ordinates. 1=-3(2) + b 2- Solve for b to get the y-intercept. 1= 6 + b
1-6 = b
-5= b 3- Re-write the final new equation including the y-intercept. y= -3x - 5 *Slope= reciprocal + opposite signs
*May have diff. or same y-intercept Example: Write an equation of the line passing through (-3,-1) and to y=-2x - 4 1- Plug in slope with opposite sign and reciprocal
and the co-ordinates given. 2- Solve for b to get the y-intercept. 3- Re-write the final new equation including the y-intercept. 5 5 -1 = 5 (-3) + b 2 -1 = -15 + b 2 -1 + 15 = b 2 13= b 2 y= 5x + 13 2 2 3 FORMS OF LINEAR EQUATIONS SLOPE-INTERCEPT STANDARD Y mx + b EQUATION = mx = linear term + b = constant CONTENTS: *Advantage:
-MOSt Common Equation used for Graphing
-Can be converted from standard and point-slop form. y-y1 m (x-x1) EQUATION = CONTENTS POINT SLOPE POINT - SLOPE *ADVANTAGE :
Easy to have a point and slope plugged into
or just 2 points. ax + by c EQUATION = *ADVANTAGE:
-Can be converted to slope-intercept form.
-Can be graphed using the x and y-intercepts.
-The a variable has to be a real number (not negative or less than 0. ) EXAMPLE: Write in A) Point Slope form, B) Slope intercept form, and C)Standard form the Equation of the line that passes through (-3,5) with slope of -1, then D) Graph. EXAMPLE: Write y= 1.5x + 4 in Standard form 1- Move the (1.5x) to the other side -1.5x + y=4 2- Multiply the equation by -2 to make the a a real number. {-1.5x + y=4} x-2 3- Re- write the equation. 3x - 2y = -8 EXAMPLE: Using the points (1,9) and (6,2), write an equation ins point slope form. 1- Find slope using: y2-y1 x2-x1 9-2 1-6 = -7 5 2- Choose a point to plug in along with the slope: y-2= -7 (x-6) 5 EXAMPLE: Write the equation of the line that passes through (0,2) with a slope of 5 in slope intercept form 1-Plug in slope and co-ordinates: 2= 5(0) + b 2-Solve for b: 2= b 3-Re-write the equation incorporating the slope
and y-intecept: y= 5x + 2 Point- Slope Form Slope Intercept Form Standard Form GRAPH : y-y1 = m(x-x1) y-5 = -1(x+3) y-5 = -1(x+3) y-5 = -1x-3 y = -1x-3 + 5 y = -x + 2 y = -x + 2 x + y = 2 VERTICAL LINEs HORIZONTAL LINES *y = b
*m = 0
*y is constant *X = C
*m = undefined
*x is constant EXAMPLE : x = 3 EXAMPLE : y = 3 CLASSWORK Page 68 : # 20 - 50 even
Page 110 : #14- 19
Full transcript