<span>The set of an integer is called the set Z
The set of integers number is composed by
the positive whole number {0, 1, 2, 3…}
and the negative whole number
{…-4, -3, -2, -1, 0} .We write it as follow
Z= {…- 4, -3, -2, -1, 0}U{0, 1, 2, 3…}.
If we assume that k is inside Z, so k can
be a negative integer of positive integer.
Besides the absolute value of a number
is always the positive value of this number.
Let be k<0 an integer different from zero,
so abs(k) >0, and abs(k)> k for all value of k.
For example for k= -2, and
abs(k)=abs(-2)=2> -2 (always)</span>
THE SLOPE IS -2
if we have the coordinates of two points on a line, we can find the slope with this formula:

so the slope is

the answer is -2
good luck
Answer: 9/10 times
Step-by-step explanation:
Hi, to answer this question we simply have to divide 18/25 by 4/5
Mathematically speaking:
18/25 ÷ 4/5 = (18 x 5) / (25 x 4) = 90/100 = 9/10
In conclusion, the answer is 9/10 times.
Feel free to ask for more if needed or if you did not understand something.
Do you want the answer for question 1!? It's already done! It says Given right there, that's an example answer :)
The coordinates of B are (3, -8). Where the line-segment AB has the midpoint at M with coordinates (2, -1).
<h3>How to calculate the midpoint?</h3>
The midpoint on a line segment with two endpoints (x1, y1) and (x2, y2) is
Midpoint (x, y) = (
,
)
<h3>Calculation:</h3>
The given line segment is AB with coordinates A(1, 6) and B(x2, y2).
M is the midpoint of line segment AB. Its coordinates are M(2, -1)
Then, the coordinates of B are calculated by
M(x, y) = (
,
)
(2, -1) = (
,
)
In comparing both sides,
2 = (1 + x2)/2 and -1 = (6 + y2)/2
On simplifying,
2 = (1 + x2)/2
⇒ 4 = (1 + x2)
⇒ 1 + x2 = 4
⇒ x2 = 4 - 1
∴ x2 = 3
-1 = (6 + y2)/2
⇒ 6 + y2 = -2
⇒ y2 = -2 - 6
∴ y2 = -8
Thus, the coordinates of the required point are B(3, -8).
Learn more about calculating the midpoint here:
brainly.com/question/5566419
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