Igebra 1: CC 2015 > Chapter 1: Rewriting Equations and Formulas > Section Exercises 1.5 > Exercise 33
1 answer:
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Answer:
The other midpoint is located at coordinates (-9,-2) (Second option)
Step-by-step explanation:
<u>Midpoints</u>
If P(a,b) and Q(c,d) are points in , the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by
We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.
The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:
x (other endpoint)= - 4 - 5 = - 9
So the other midpoint is located at (-9,-2) (Second option)
Answer:
-7
Step-by-step explanation:
Given
Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.
So, we have:
<em>Hence, the first differences are -7 (all through)</em>