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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