Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
6-(1/9)+1x8
=6-(1/9)+8
=6/1-1/9+8/1 (change 6 and 8 to fractions)
=6/9-1/9+8/1
=54/9-1/9+8/1
=53/9+8/1
=53/9+8/9
=53/9+72/9
=125/9
Answer: 2/3
Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.
GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.
Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.
Factors of numerator (6): 1, 2, 3, 6
Factors of Denominator (9): 1, 3, 9
- both numbers have a common factor of 3 which is the greatest
Steps to Calculate:
1. Find the GCF
2. Divide numerator and denominator by GCF
6/3 = 2
9/3 = 3
Therefore, the lowest term would be 2/3
2.1428 is the answer not in fraction
