Find the distance of $( -3,\ 4)$ from the $x-$axis.

Given: Point $( -3,\ 4)$.

To do: To find the distance of $( -3,\ 4)$ from the $x-$axis.

Solution: To find the distance of $( -3,\ 4)$ from the $x-$axis means to find the distance of $( -3,\ 4)$ from $( -3,\ 0)$.

Using distance formula, 

Distance between the two point ${=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}$

Distance of $( -3,\ 4)$ from $( -3,\ 0)=\sqrt{( -3-( -3))^{2}+( 0-4)^{2}}$

$=\sqrt{0+16}$

$=\pm4$

$\because$ Distance can't be negative, therefor we reject the value $-4$.

$\therefore$ Required distance of $( -3,\ 4)$ from the $x-$axis is $4$ unit.

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Updated on: 10-Oct-2022

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