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New Zealand
Level 6 - NCEA Level 1

The Graphical Method

Interactive practice questions

The following graph displays a system of two equations.

Write down the solution to the system in the form $\left(x,y\right)$(x,y).

Loading Graph...

The cartesian plane is marked from $-10$10 to $10$10 on both $x$x- and $y$y-axes. Two lines are plotted on the plane and intersect at points ($6$6,$-3$3).
Easy
< 1min

The following graph displays a system of two equations.

Easy
< 1min

The following graph displays a system of two equations.

Easy
< 1min

The equation $y=5x+3$y=5x+3 has been drawn on the graph below.

If a second line $y=mx+b$y=mx+b intersects this line at the point $\left(0,3\right)$(0,3), which of the following statements is true?

Easy
< 1min
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Outcomes

NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

91027

Apply algebraic procedures in solving problems

91028

Investigate relationships between tables, equations and graphs

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