First slide

Equation of line in Straight lines

Question

The line y = 2x + 4 is shifted 2 units along +y axis, keeping parallel to itself and then I unit along +x axis direction in the same manner, then equation of the line in its new position is

Moderate

A

$y = 2 x + 6$
B

$y = 2 x + 5$
C

$y = 2 x + 4$
D

None of these

Solution

$Any point (x_{1}, y_{1}) after shifting 2 units along + y axis becomes (x_{1}, y_{1} + 2) and after shifting along + x axis it will be$
$(x_{1} + 1, y_{1} + 2), which satisfy the same equation.$

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