On the grid below, draw the graphs of $y = -\frac{1}{2}x + 1$, $y = -\frac{1}{2}x - 2$, \(y = -1

Question

On the grid below, draw the graphs of $y = -\frac{1}{2}x + 1$, $y = -\frac{1}{2}x - 2$, $y = -1$ Write down the gradients of the straight lines in (i). Based on your drawings in (i), identify the geometrical shape enclosed by the three graphs and $x$-axis. Based on your answers in (ii) and (iii), write down ONE condition which guarantees that the two straight lines are parallel.

Accepted Answer

Gradients: $-1/2,-1/2,0$. The two sloping lines, the horizontal line and the x-axis enclose a parallelogram. Distinct nonvertical lines are parallel exactly when their gradients are equal; any two distinct vertical lines are also parallel.

Plotting of Straight Line on Graph Paper

Plotting of Straight Line on Graph Paper

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