Answer:
y = -x - 7
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + y = 1.
First, let's put this into standard form.
x + y = 1
y = -x + 1
Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.
Plug this value (-1) into your standard point-slope equation of y = mx + b.
y = -x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.
0 = -1(-7) + b
To find b, multiply the slope and the input of x (-7)
0 = 7 + b
Now, subtract 7 from both sides to isolate b.
-7 = b
Plug this into your standard equation.
y = -x - 7
This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)
Hope this helps!
Answer:
So , do you need to see how that is graphed?
Step-by-step explanation:
Answer: Refer to the diagram below
- P ' is at (-7, 9)
- Q ' is at (1, 9)
- R ' is at (-6, 4)
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Explanation:
The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.
The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.
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Answer:
8. A = {Delaware, New Jersey, Pennsylvania}
9. |B| = 3
Step-by-step explanation:
8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:
A = {Delaware, New Jersey, Pennsylvania}
__
9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.
|B| = 3
