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Cartesian Plane, SMB-007

On the Cartesian plane below, graph the equation  `y-1=-1/2x`.

Clearly label the coordinates of the intercepts with both the `x` and `y`-axes.  (2 marks)

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`y-1=-1/2x\ \ =>\ \ y=-1/2x+1`

`ytext{-intercept = 1,  gradient}\ = -1/2`

`xtext{-intercept occurs when}\ y=0:`

`0=-1/2x+1\ \ =>\ \ x=2`

Filed Under: Cartesian Plane Tagged With: num-title-ct-coreb, smc-4422-25-y-int gradient

Cartesian Plane, SMB-006

On the Cartesian plane below, graph the equation  `y=3x+2`.

Clearly label the coordinates of the intercepts with both the `x` and `y`-axes.  (2 marks)

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`ytext{-intercept = 2,  gradient = 3}`

`xtext{-intercept occurs when}\ y=0:`

`0=3x+2\ \ =>\ \ x=-2/3`
 

Filed Under: Cartesian Plane Tagged With: num-title-ct-coreb, smc-4422-25-y-int gradient

Cartesian Plane, SMB-005

On the Cartesian plane below, graph the equation  `y=2x-1`.

Clearly label the coordinates of all intercepts.  (2 marks)

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`ytext{-intercept = –1,  gradient = 2}`

`xtext{-intercept occurs when}\ y=0:`

`0=2x-1\ \ =>\ \ x=1/2`
 

Filed Under: Cartesian Plane Tagged With: num-title-ct-coreb, smc-4422-25-y-int gradient

Functions, 2ADV F1 2022 HSC 1 MC

Which of the following could be the graph of  `y= -2 x+2`?
 

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`A`

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`text{By elimination:}`

`y text{-intercept = 2  →  Eliminate}\ B and C`

`text{Gradient is negative  → Eliminate}\ D`

`=>A`

Filed Under: Cartesian Plane, Linear Functions (Adv-2027), Linear Functions (Y11) Tagged With: 2adv-std2-common, Band 3, common-content, num-title-ct-pathb, num-title-qs-hsc, smc-4422-25-y-int gradient, smc-6214-05-Coordinate Geometry, smc-985-30-Coordinate Geometry

Algebra, STD2 A2 2014 HSC 7 MC

Which of the following is the graph of   `y = 2x-2`? 
  


  

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`D`

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♦ Mean mark 46%

`y = 2x-2`

`text(By elimination)`

`text(It has a)\ y\ text(intercept of)\ -2`

`=> text(Cannot be)\ B\ text(or)\ C`

 

`(-1, 0)text{ from}\ A\ text(doesn’t satisfy equation)`

`text(but)\ (1,0)\ text(from)\ D\ text(does)`

`=>  D`

Filed Under: AM2 - Linear Relationships (Prelim), Cartesian Plane, Linear Equations and Basic Graphs (Std 1), Linear Equations and Basic Graphs (Std 2), Linear Relationships and Basic Graphs (Std2-2027) Tagged With: Band 5, num-title-ct-pathc, num-title-qs-hsc, smc-1118-20-Identify graph/equation, smc-4422-25-y-int gradient, smc-4422-35-Sketch graph, smc-6255-20-Equation of a line, smc-792-20-Equation of Line

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