What will be the equation of a line parallel to the x-axis and passing through -3,-2?

# What will be the equation of a line parallel to the $x$-axis and passing through $\left(-3,-2\right)?$

1. A
${y}{=}{-}{2}$
2. B
${y}{=}{2}$
3. C
${y}{=}{-}{3}$
4. D
${y}{=}{-}{2}{x}$

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### Solution:

It is given that, line is parallel to the x-axis and passes through (-3, -2).
As we know that, the equation of line is $y=\mathit{mx}+c$    ...eq(i)
Where m is the slope and c is the y-intercept,
Since, m = 0 (given)
Also, putting the values of x = -3 and y = -2 in the eq(i), we get
$-2=0×\left(-3\right)+c$
$⟹c=-2$.  Therefore, the equation becomes as
${y}{=}{-}{2}$.
Hence, option 1) is correct.

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