For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following line:
The slope is 
By definition, if two lines are parallel then their slopes are equal. Thus, a line parallel to the given line will have a slope
Therefore, the equation of the parallel line will be of the form:
We substitute the given point and find "b":
Finally, the equation is:
Answer:
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➷ It would cross at (0, -1) or just -1
y = mx + c
The 'c' value in the equation is the y intercept
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Answer: 33 child tickets that were sold.
Step-by-step explanation:
Let x represent the number of child tickets that were sold.
Let y represent the number of adult tickets that were sold.
At the city museum, child admission is $5.40 and adult admission is $9.10. A total sales of $1079.10 was made on Monday. This means that
5.4x + 9.1y = 1079.1 - - - - - - - - - -1
On Monday, three times as many adult tickets as child tickets were sold. This means that
y = 3x
Substituting y = 3x into equation 1, it becomes
5.4x + 9.1 × 3x = 1079.1
5.4x + 27.3x = 1079.1
32.7x = 1079.1
x = 1079.1/32.7
x = 33
y = 3x = 3 × 33
y = 99
Answer:
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