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Maths-

General

Easy

Question

Some values of x and their corresponding values of y are shown in the table above, where a is a constant. If there is a linear relationship between x and y, which of the following equations represents the relationship?

$x + 2 y = a$
$x + 2 y = 5 a$
$2 x - y = - 5 a$
$2 x - y = 7 a$

hint Hint:

Hint:

Equation of straight line can be written as $y minus y subscript 1 equals m open parentheses x minus x subscript 1 close parentheses$ .

The correct answer is: $x plus 2 y equals a$

Explanation:

We have given a table of different value of x and y.

We have to find the general equation that relates x and y.

Since it is given that there is linear relationship we can easily find the equation.

Step 1 of 1:
The given table is

Take any two point and find the slope
$m equals fraction numerator negative a minus 0 over denominator 3 a minus a end fraction$
$equals fraction numerator negative a over denominator 2 a end fraction$
$equals fraction numerator negative 1 over denominator 2 end fraction$
Now the equation will be
$y minus 0 equals negative 1 half left parenthesis x minus a right parenthesis$
$2 y equals negative x plus a$
$2 y plus x equals a$
Hence, Option A is correct.

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