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.
21. Find the gradient of the line
Option A:
1
Option B:
2
Option C:
3
Option D:
4
waecmaths solution:
$\begin{align} & ({{x}_{1}},{{y}_{1}})=(0,3) \\ & ({{x}_{2}},{{y}_{2}})=(1\tfrac{1}{4},5\tfrac{1}{2}) \\ & m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}=\frac{5\tfrac{1}{2}-3}{1\tfrac{1}{4}-0}=\frac{\tfrac{11}{2}-3}{\tfrac{5}{4}-0}=\frac{\tfrac{5}{2}}{\tfrac{5}{4}} \\ & m=\frac{5}{2}\times \frac{4}{5}=2 \\\end{align}$
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