General Mathematics Β· Unit 1 Β· Linear equations and their graphs Β· Straight-line graphs
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The straight line $y = -2x + 8$ passes through the points where it crosses both axes. Determine: (a) the slope of the line (1 mark) (b) the $y$-intercept (1 mark) (c) the $x$-intercept (1 mark)
A straight line has the equation $3x + 4y - 12 = 0$. Determine: (a) the slope of the line [1 mark] (b) the $x$-intercept [1 mark] (c) the $y$-intercept [1 mark]
The equation of a straight line is $y = -2x + 5$. Determine the slope, the $x$-intercept and the $y$-intercept of this line.
A straight line passes through the point $(3, -5)$ and has a gradient of $-2$. Determine the y-intercept of this line.
A mobile phone plan charges a fixed monthly fee plus a rate per gigabyte (GB) of data used. The table shows the total monthly cost, \(C\) (dollars), for \(d\) gigabytes of data used. Determine: (a) the slope (gradient) of the linear relationship [1 mark] (b) the \(C\)-intercept and its meaning in this context [1 mark] (c) the \(d\)-intercept, stating whether it has a practical interpretation in this context. [2 marks]