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

(i) Graphs of $y=-\dfrac12x+1$, $y=-\dfrac12x-2$, and $y=-1$ (ii) Gradients $-\dfrac12$, $-\dfrac12$, $0$ (iii) Parallelogram (iv) Distinct straight lines with equal gradients are parallel

Plotting of Straight Line on Graph Paper

Plotting of Straight Line on Graph Paper

Video Solution:

Solution:

Solution locked