The slope is 0 and equation of perpendicular line is y=-3.
We have given that,
point =(-5,-3)
Since the Y-axis is vertical,
a line perpendicular to it would be horizontal
What is the slope of horizontal line?
The slope of a horizontal line is zero
Therefore,
m=0
Because
because slope is the change in the vertical (Y value) divided by the \(slope=\frac{change in the vertical (Y value)}{change in the horizontal (X value)}\)
and the vertical coordinate does not change from the -3 of the point
.................(given. )
If we start with the slope-intercept form of an equation of a line
\(Y = mX + b\)
we can write,
\(Y = 0X + (-3)\\Y = -3.\)
Therefore,
The slope is 0 and equation of perpendicular line is y=-3.
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