find the equation of the straight line which passes through (2,-3) and is parallel with x axis or is parallel with y axis.

Expert Answers

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We have 2 cases:

Case (1):

passes through (2,-3) and parallel to x-axis,

Parallel to x-axis means that the slope = 0

==> y-y1= m(x-x1)

==> y+3 - 0

==> y= -3


Case 2:

Passes througth (-2, 3) and parallel to y-axis,

That means that the function does not intersect with y-axis then y values are unlimited:

Then the equation is:

==> x= -2

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