Slope of a Line Slope of a Line

+ Slope = 0 Slope = Undefined Vertical Slope = Undefined

+ Slope = 0 Slope = Undefined - slope - Slope

Using a Table of Values to Graph Linear Equations

Using a Table of Values to Graph Linear Equations + Slope

Grade of a Road is the Same the Slope 7 feet Slope 100 feet

So How Can We Calculate the Slope of A line Slope = Rise ___

So How Can We Calculate the Slope of A line Slope = 2 ___

So How Can We Calculate the Slope of A line Slope = Fall ___

So How Can We Calculate the Slope of A line m= Rise ___ Run

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Y-intercept

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Y-intercept y = mx +

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope b Y-intercept y = mx

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Fall =-4 Run = 2

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Fall =-4 Y-intercept y =

Graphing a Linear Equation Slope Intercept Form y = -2 x + 4 y=mx+b

Example 1 : Graph The Equation : y = 3/2 x + 6 y=

Example 1 : Graph The Equation Run = 2 Graph The Equation : y

What is Standard Form? Ax+ By= C Standard Form Where A , B ,

What is Standard Form? Ax+ By= C Standard Form Change to y=mx+b Slope Intercept

What is Standard Form? A x + By = C Standard Form

What is Standard Form? 4 x + By = C Standard Form

What is Standard Form? 4 x + 2 y = C Standard Form

What is Standard Form? 4 x + 2 y = 4 Standard Form

What is Standard Form? 4 x + 2 y = 4 -4 x Standard

What is Standard Form? 4 x + 2 y = 4 y=mx+b Standard Form

What is Standard Form? 4 x + 2 y = 2 Standard Form y=mx+b

Using the X and Y Intercept to Graph Y- Intercept : Any Point in

Using the X and Y Intercept to Graph 2 x + 4 (0) =

Using the X and Y Intercept to Graph y=mx+b

Using the X and Y Intercept to Graph y = mx + 2

Using the X and Y Intercept to Graph y = mx + 2 m=

Using the X and Y Intercept to Graph y= -1 ___ 2 m= x+

Slope Formula If you are ask to find the slope given two points use

Slides: 122

Download presentation

Slope of a Line

+ Slope + slope

+ Slope

+ Slope = 0 Horizontal Slope = 0

+ Slope = 0 Slope = Undefined Vertical Slope = Undefined

+ Slope = 0 Slope = Undefined - slope - Slope

+ Slope = 0 Slope = Undefined - Slope

+ Slope

_ Slope

Slope = 0

Slope = undefined

_ Slope

+ Slope

Slope = undefined

Slope = 0

Using a Table of Values to Graph Linear Equations

Using a Table of Values to Graph Linear Equations + Slope

How do engineers build bridges?

Grade of a Road is the Same the Slope 7 feet Slope 100 feet

So How Can We Calculate the Slope of A line Slope = Rise ___ Run or Fall ___ Run

So How Can We Calculate the Slope of A line Slope = Rise ___ Run Rise = + 2 Run = + 1

So How Can We Calculate the Slope of A line Slope = 2 ___ Run Rise = + 2 Run = + 1

So How Can We Calculate the Slope of A line Slope = 2 ___ 1 Rise = + 2 Run = + 1

So How Can We Calculate the Slope of A line Slope = Rise ___ Run or Fall ___ Run

So How Can We Calculate the Slope of A line Slope = Fall ___ Run

So How Can We Calculate the Slope of A line Slope = Fall ___ Run Fall = - 2 Run = + 1

So How Can We Calculate the Slope of A line Slope = -2 ___ Run Fall = - 2 Run = + 1

So How Can We Calculate the Slope of A line Slope = -2 ___ 1 Fall = - 2 Run = + 1

So How Can We Calculate the Slope of A line Slope = Rise ___ Run or Fall ___ Run

So How Can We Calculate the Slope of A line m= Rise ___ Run or Fall ___ Run

So How Can We Calculate the Slope of A line Slope = Rise ___ Run or Fall ___ Run

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Y-intercept

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Y-intercept y = mx + b b

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Y-intercept y = mx + 4 b

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope b Y-intercept y = mx + 4 m= Fall ___ Run

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Fall =-4 Run = 2 Y-intercept y = mx + 4 m= Fall ___ Run

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Fall =-4 Run = 2 Y-intercept y = mx + 4 m= -4 ___ Run

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Fall =-4 Run = 2 Y-intercept y = mx + 4 m= -4 ___ 2

Graphing a Linear Equation Slope Intercept Form y=mx+b Slope Fall =-4 Y-intercept y = mx + 4 m = -2 Run = 2

Graphing a Linear Equation Slope Intercept Form y = -2 x + 4 y=mx+b Slope Fall =-4 Y-intercept y = -2 x + 4 m = -2 Run = 2

Example 1 : Graph The Equation : y = 3/2 x + 6 y= m x+b b= 6 m= 3 Rise ____ = ____ Run 2

Example 1 : Graph The Equation Run = 2 Graph The Equation : y = 3/2 x + 6 y= m x+ b b= 6 m= 3 Rise ____ = ____ Run 2 Rise = 3 y = 3/2 x + 6

What is Standard Form? Ax+ By= C Standard Form Where A , B , C are numbers 2 x+4 y=6 5 x - 7 y = 12 3 x+4 y=-2

What is Standard Form? Ax+ By= C Standard Form Change to y=mx+b Slope Intercept Form 4 x+2 y=4 Standard Form

What is Standard Form? A x + By = C Standard Form

What is Standard Form? 4 x + By = C Standard Form

What is Standard Form? 4 x + 2 y = C Standard Form

What is Standard Form? 4 x + 2 y = 4 Standard Form

What is Standard Form? 4 x + 2 y = 4 -4 x Standard Form ____________ 2 y =-4 x __ __ __ +4 2 2 2 ____________ y = -2 x + 2 y=mx+b Slope Intercept Form

What is Standard Form? 4 x + 2 y = 4 -4 x Standard Form ____________ __ 2 y =-4 x __ __ +4 2 2 2 ____________ y = -2 x + 2 y=mx+b Slope Intercept Form

What is Standard Form? 4 x + 2 y = 4 y=mx+b Standard Form Slope Intercept Form

What is Standard Form? 4 x + 2 y = 2 Standard Form y=mx+b b= 2 m = -2 __ 1 Slope Intercept Form

Using the X and Y Intercept to Graph Y- Intercept : Any Point in Y-Axis is going to have an X= 0 X- Intercept : Any Point in X-Axis is going to have an Y= 0

Using the X and Y Intercept to Graph 2 x + 4 (0) = 8 2 x __ = __ 8 2 2 = 4 x The X - Intercept is: (4, 0) 2(0) + 4 y = 8 8 4 y = __ __ 4 4 y=2 The Y - Intercept is: (0, 2)

Using the X and Y Intercept to Graph

Using the X and Y Intercept to Graph y=mx+b

Using the X and Y Intercept to Graph y = mx + b

Using the X and Y Intercept to Graph y = mx + 2

Using the X and Y Intercept to Graph y = mx + 2 m= Fall ___ Run = -2 ___ 4 = -1 ___ 2

Using the X and Y Intercept to Graph y= -1 ___ 2 m= x+ 2 Fall ___ Run = -2 ___ 4 = -1 ___ 2

Slope Formula If you are ask to find the slope given two points use The slope formula Slope = _ y 2 – y 1 2 5 ______ = 7______ = _ _x 2 – x 1 3 _5 2 Find the slope between the points (3, 2) and (5, 7) x 1 y 1 x 2 y 2

Exercises