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abatek28
11.01.2020 •
Mathematics
Part a: the graph of which equation below is a horizontal line?
1) x + y = 3
2) y = 3
3) x = 3
4)x/y = 3
part b: explain in 3-4 sentences why your equation in part a is horizontal line. your answer should include at least 4 of the following words:
x-coordinate
y-coordinate
ordered pair slope y-intercept
slope-intercept form
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Ответ:
For 2)![y = 3](/tpl/images/0450/7733/283b3.png)
is a Horizontal Line withe Explanation as below.
Step-by-step explanation:
Given:
1) x + y = 3
2) y = 3
3) x = 3
4)x/y = 3
Solution:
Part A:
Slope of horizontal line is 0. So, equation of line is of the form y = b
Now, from all the options available, option 2 matches the definition.
Part B: Following are the properties of a horizontal line.
1. Parallel to x axis.
2. The y-coordinate is always the same .
3. The x-coordinate only changes.
4. The slope is zero .
So, the equation is of the form y = b
Where 'b' is the value of the y coordinate.
5. The ordered pair is (x,b)
6. Slope-intercept form is given as
where m = slope
c = y - intercept
So for horizontal line slope is zero
∴ y = 0 × x +c = c
∴ y = c
∴ y = 3 is a Horizontal line
Ответ:
Good luck! =D