x 2 4 7 11
y 3 7 13 21
The equation expressing the relationship between x and y in the above table is

y = 2 x + 1

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y = x + 2

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y = 2 x - 1

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2 x + y = 7

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none of these

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Solution

The correct option is E $y = 2 x - 1$
It passes through point $(2, 3), (4, 7), (7, 13), (11, 21)$

the equation of a line which passes through two given point is

$y - y_{1} = \frac{y_{1} - y_{2}}{x_{2} - x_{1}} (x - x_{1})$

after putting $(2, 3), (4, 7)$

$y - 3 = \frac{7 - 3}{4 - 2} (x - 2)$

$y - 3 = 2 (x - 2)$

$y - 3 = 2 x - 4$

$y = 2 x - 1$ .

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