<h3>
Answer: y - 4 = -2(x - 5)</h3>
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Explanation:
Point slope form is
y - y1 = m(x - x1)
where m is the slope and (x1,y1) is the point the line goes through.
Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.
-2 will go in the second box that's just to the left of the parenthesis.
The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.
We go from this
y - y1 = m(x - x1)
to this
y - 4 = -2(x - 5)
Graph 1: Domain = 2 <= x < 12
Graph 1: Range = {2,4}
Graph 2: Domain = 3 <= x <= 10
Graph 2: Range = -6 <= y <= 4
Graph 3: Domain = 4 < x < 11
Graph 4: Range = -6 <= y < 2
