QUESTION IMAGE
Question
(9, -4) and (-5, -4)
a. (7, -4)
b. (2, -4)
c. (-2, -4)
For the coordinate problem (finding the midpoint or analyzing the line segment between (9, -4) and (-5, -4)):
Step1: Identify the y - coordinates
The two points are \((9, - 4)\) and \((-5, - 4)\). We can see that the \(y\) - coordinate for both points is \(-4\), so the line segment between them is horizontal.
Step2: Analyze the x - coordinates and find the pattern or midpoint
The \(x\) - coordinates are \(9\) and \(-5\). Let's check the given options \((7, - 4)\), \((2, - 4)\), \((-2, - 4)\).
First, find the midpoint of the \(x\) - coordinates: The midpoint formula for the \(x\) - coordinate of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{x_1 + x_2}{2}\).
For \(x_1=9\) and \(x_2 = - 5\), \(\frac{9+( - 5)}{2}=\frac{9 - 5}{2}=\frac{4}{2}=2\). So the midpoint of the two points \((9, - 4)\) and \((-5, - 4)\) is \((2, - 4)\).
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b. (2, - 4)