New Zealand

Level 6 - NCEA Level 1

The graphical solution of a system of two linear equations can be described as:

The point of intersection of two lines.

A

Any point that is at an equal distance from two lines.

B

The angle between two lines at their point of intersection.

C

The distance between the $y$`y`-intercepts of two lines.

D

Easy

< 1min

Consider the system of linear equations

$-3x-12y$−3x−12y |
$=$= | $6$6 |

$-2x-4y$−2x−4y |
$=$= | $-4$−4 |

Easy

< 1min

Consider the system of linear equations

$4x+4y$4x+4y |
$=$= | $6$6 |

$5x+3y$5x+3y |
$=$= | $3$3 |

Easy

< 1min

Consider the equations $y=3x-1$`y`=3`x`−1 and $y=-5x+23$`y`=−5`x`+23.

Easy

3min

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

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

Apply algebraic procedures in solving problems

Investigate relationships between tables, equations and graphs