Question

what is the equation of a vertical line that passes through (3, -10)

Answer 1

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

A vertical line is always parallel to y - axis, I.e the x - coordinates of the points on the line never changes

Therefore, the equation of the line will be ~

$\qquad \sf  \dashrightarrow \: x = 3$

And on this line, for each value of y, there is same value of x ~

Answer 2

The required equation of a vertical line that passes through (3, -10) is x = 3

Equation of a line

The equation of a line in point slipe form is expressed as:

y - y1 = m(x-x1)

The equation of a vertical line is given as x = a

The value of a is the x coordinate of the given point. Hence the value of a  = 3

The required equation of a vertical line that passes through (3, -10) is x = 3

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