The slope of the line in its simplest form is 3.
The slope of a line is
.
We need to find the slope of the line in its simplest form.
<h3>What is the slope?</h3>
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.
Select any two points on the line like A and B.
From the below figure it is clear that
Rise = Change in y = -2-(-5) = 3
Run = Change in x = 9-0 = 9
Now, 
Therefore, the slope of the line in simplest form is 3.
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Answer : The number is 4.
Step-by-step explanation:
<u>Given : </u>
six times a number, increased by 3 is is 27.
<u>To Find: </u>
The number.
<u>Solution : </u>
Let the number is x
six times a number is 6x
Increased by 3 = 6x+3
According to the given question :
<u>Solving the value x : </u>
6x+3 =27
6x = 27-3
6x = 24
x = 24/6
x = 4
Hence, the number is 4.
M^3 + 9m =
There is a common factor of m.
= m(m^2 + 9)
That is the complete factorization.
m^2 + 9 is a sum of two squares which is not factorable.
Answer: m(m^2 + 9)