Question 21

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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.

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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