iGCSE (2021 Edition)

11.10 Graphs of linear equations

Interactive practice questions

Consider the following graph.

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A Cartesian plane has both its $x$x- and $y$y-axes ranging from $-7$−7 to $7$7. Both axes are marked with intervals of $1$1 unit. A diagonal line is plotted on the Cartesian plane. The line moves downward from left to right. The line passes through the $y$y-axis at $\left(0,4\right)$(0,4). The line passes through the $x$x-axis at $\left(3,0\right)$(3,0). The points are not marked and their coordinates are not explicitly labeled or given. The line continues to move downward and extends beyond the visible part of the graph.

State the $x$x-value of the $x$x-intercept.

State the $y$y-value of the $y$y-intercept.

Easy

< 1 min

Consider the following graph.

Easy

< 1 min

Consider the following graph.

Easy

< 1 min

Consider the linear equation $y=2x-4$y=2x−4.

Medium

3 min

Outcomes

0607E3.2A

Recognition of linear, f(x) = ax + b, function types from the shape of their graphs.

0607C4.6

Equation of a straight line as y = mx + c or x = k.

0607E4.6A

Equation of a straight line as y = mx + c.

0607E4.6B

Equation of a straight line as ax + by = d (a, b and d integer).

11.10 Graphs of linear equations

Interactive practice questions

Outcomes

0607E3.2A

0607C4.6

0607E4.6A

0607E4.6B

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