Question

Equation of the line passing through (2, -1) and parallel to the line 2x - y = 4 is

Answer 1

SOLUTION

TO DETERMINE

The Equation of the line passing through (2, -1) and parallel to the line 2x - y = 4

EVALUATION

Here the given equation of the line is

$\sf{2x - y = 4 \: \: \: \: ......(1)}$

Let the equation of the line parallel to line given by Equation (1) is

$\sf{2x - y = k \: \: \: \: ......(2)}$

Where k is a real number to be determined

Now line given by Equation (2) passes through the point (2,-1)

$\therefore \: \: \sf{2.2 - ( - 1) = k\: \: \: \: }$

$\implies \: \: \sf{4 + 1 = k\: \: \: \: }$

$\implies \: \: \sf{ k = 5\: \: \: \: }$

Hence the required equation of the line is

$\sf{2x - y = 5}$

FINAL ANSWER

The required equation of the line is

$\boxed{ \: \: \sf{2x - y = 5} \: \: }$

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