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Answer:
y=-3
Step-by-step explanation:
First, you want the slope.
The slope is
[tex]\frac{-3-(-3)}{-3 - 5} = \frac{0}{-8}\\[/tex]
0/-8 = 0, so the line is horizontal.
the y-intercept must be -3 because it never changes.
So the equation must be
y=-3
Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{-3+3}{-3-5}=0[/tex]
Equation of line in point slope form
[tex]\\ \rm\hookrightarrow y+3=0(x-5)[/tex]
[tex]\\ \rm\hookrightarrow y+3=0[/tex]
[tex]\\ \rm\hookrightarrow y=-3[/tex]