Answer:
(0-10)
Step-by-step explanation:
If she plans to use 10 intervals and the highest number in the data set is just under 100, then it makes sense to split the histogram into ten intervals of 10.
That is the answer for the first one
Question 1:
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Find Slope
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Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5
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Insert slope into the general equation y = mx + c
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y = 5x + c
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Find y-intercept
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At point (2, -1)
y = 5x + c
-1 = 5(2) + c
c = -1 - 10
c = -11
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Insert y-intercept into the equation
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y = 5x + c
y = 5x - 11
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Answer: y = 5x - 11
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Question 2:
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Find Slope
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y = 9x
Slope = 9
Slope of the parallel line = 9
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Insert slope into the equation y = mx + c
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y = 9x + c
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Find y-intercept
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y = 9x + c
At point (0, 5)
5 = 9(0) + c
c = 5
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Insert y-intercept into the equation
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y = 9x + c
y = 9x + 5
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Answer: y = 9x + 5
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The linear equation in standard form is 
.
<h3>Linear Function</h3>
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for 
.
b= the constant term that represents the y-intercept.
The question gives: X-intercept:3 and y-intercept: 5. Then,
- The x-intercept is the point that y=0, then the x-intercept point is (3,0).
- The y-intercept is the point that x=0, then the x-intercept point is (0,5).
With this information, you can find the slope (a).
The question gives the coefficient b since it gives the y-intercept=5.
Therefore the linear equation is : .
Read more about the linear equations here:
brainly.com/question/2030026
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