<span>Simplifying
b4 = 9
Solving
b4 = 9
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Simplifying
b4 = 9
Reorder the terms:
-9 + b4 = 9 + -9
Combine like terms: 9 + -9 = 0
-9 + b4 = 0
Factor a difference between two squares.
(3 + b2)(-3 + b2) = 0</span>
The formula of a slope:
We have the points (4, -4) and (k, -1) and the slope m = 34.
Substitute:
The slope of the trend line is -10
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
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<em>Algebraic solution</em>
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
