Question

x | y
9 |
11 |
14 |
18 |
(and a graph with x - axis from 0 to 10 and y - axis from 0 to 5, a blue line starting at (5, 0) and going up)

Explanation:

Step1: Find slope from graph

Identify points (5,0) and (7,1). Slope $m=\frac{1-0}{7-5}=\frac{1}{2}$

Step2: Write line equation

Use point-slope form with (5,0): $y-0=\frac{1}{2}(x-5)$, simplify to $y=\frac{1}{2}x-\frac{5}{2}$

Step3: Calculate y for x=9

Substitute $x=9$: $y=\frac{1}{2}(9)-\frac{5}{2}=\frac{9-5}{2}=2$

Step4: Calculate y for x=11

Substitute $x=11$: $y=\frac{1}{2}(11)-\frac{5}{2}=\frac{11-5}{2}=3$

Step5: Calculate y for x=14

Substitute $x=14$: $y=\frac{1}{2}(14)-\frac{5}{2}=\frac{14-5}{2}=4.5$

Step6: Calculate y for x=18

Substitute $x=18$: $y=\frac{1}{2}(18)-\frac{5}{2}=\frac{18-5}{2}=6.5$

Answer:

Table values (y): 2, 3, 4.5, 6.5
Equation: $y=\frac{1}{2}x-\frac{5}{2}$