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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, 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-6214-02-Equation of Line, smc-6214-08-Intercepts, smc-6214-10-Sketch/Identify Graph, 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(From the equation:)`

`y\ text(intercept of)\ -2`

`=> text(Eliminate)\ B\ text(and)\ C`

 

`text(From the equation:)`

`text(Gradient)=2`

`=> text(Eliminate)\ A`

`=>  D`

Filed Under: AM2 - Linear Relationships (Prelim), Cartesian Plane, Linear Equations and Basic Graphs (Std 1), Linear Equations and Basic Graphs (Std 2), Linear Modelling and Basic Graphs, Linear Modelling and Basic Graphs 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-6512-20-Equation of a line, smc-792-20-Equation of Line

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