Question

spiral review
for items 1-3, graph the proportional
relationship shown in the table and
determine the slope of the line.
1.

x	0	1	2	3	4	5
y	0	0.2	0.4	0.6	0.8	1

graph
2.

x	0	1	2	3	4	5
y	0	2	4	6	8	10

graph
3.

x	0	1	2	3	4	5
y	0	1.5	3	4.5	6	7.5

graph

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Calculate slope for Q1

Use points $(0,0)$ and $(1,0.2)$:
$m_1 = \frac{0.2 - 0}{1 - 0} = 0.2 = \frac{1}{5}$

Step3: Calculate slope for Q2

Use points $(0,0)$ and $(1,2)$:
$m_2 = \frac{2 - 0}{1 - 0} = 2$

Step4: Calculate slope for Q3

Use points $(0,0)$ and $(1,1.5)$:
$m_3 = \frac{1.5 - 0}{1 - 0} = 1.5 = \frac{3}{2}$

Step5: Plot points for Q1

Plot $(0,0), (1,0.2), (2,0.4), (3,0.6), (4,0.8), (5,1)$ and draw a straight line through them.

Step6: Plot points for Q2

Plot $(0,0), (1,2), (2,4), (3,6), (4,8), (5,10)$ and draw a straight line through them.

Step7: Plot points for Q3

Plot $(0,0), (1,1.5), (2,3), (3,4.5), (4,6), (5,7.5)$ and draw a straight line through them.

Answer:

1. Slope: $\frac{1}{5}$ (or 0.2); Graph: Straight line through the plotted points above
2. Slope: $2$; Graph: Straight line through the plotted points above
3. Slope: $\frac{3}{2}$ (or 1.5); Graph: Straight line through the plotted points above