Question 22

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waecmaths question: 

The table below shows the values for a linear graph

x

0

1 ¼

2

4

y

3

5 ½

 

 

Use it to answer question 21 and 22.

22. What is the value of y when x =2

Option A: 

5

Option B: 

7

Option C: 

9

Option D: 

11

waecmaths solution: 

$\begin{align}  & \text{From the question 21, the slope }m=2 \\ & m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\ & \text{Let }({{x}_{1}},{{y}_{1}})=(0,3),\text{  }({{x}_{2}}{{y}_{2}})=(2,{{y}_{2}}) \\ & m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\ & 2=\frac{{{y}_{2}}-3}{2-0} \\ & 4={{y}_{2}}-3 \\ & {{y}_{2}}=7 \\ & \text{When }x=2,\text{ }y=7 \\\end{align}$

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