Question

equation of line passing through the origin is

Answer 1

Hello frnds
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If the line passes through the origin, then you know that 0'0 is on the line.

If the line is perpendicular to y=2x +3 then we know the line has slope m = -0.5. This is the negative reciprocal of the slope.

The solution can be obtained by solving y= - -0.5x+b using the information given.

It is also worth knowing that if the line passes through the origin, the y intercept is already determined (it is 0 since the line will pass through the y axis at 0).

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THANK YOU

@SRK6

Answer 2

The equation of a line passing through the origin is y = mx

As we know that equation of a line passing through (x',y')

and having slope m is

$(y - {y}^{1} ) = m(x - {x}^{1})$

Equation of a line passing through (0,0) with slope m

$(y - 0) = m(x - 0)$

$y = mx$

The mathematical equation that gives the relation between the coordinate points lying on that straight line is called the Equation of a straight line. Its general equation is y = mx + c, where m denotes the slope and c denote y intercept. A straight line is a two-dimensional geometrical that extends on both its ends till infinite.

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