Answer:
D) y = 2x − 8
Step-by-step explanation:
Use the Distributive Property to convert from <em>Point-Slope</em><em> </em><em>Form</em><em> </em>to <em>Slope-Intercept</em><em> </em><em>Form</em>:
y − 4 = 2(x − 6)
y − 4 = 2x − 12
+ 4 + 4
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Explanation:
The solution set for a system of equation is the set of points where the graphs of the equations intersect.
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<h3>general case</h3>
A system will have <em>one solution</em> if there is a <em>single point of intersection</em> of the graphs of the equations.
A system will have <em>no solutions</em> if the graphs have <em>no points of intersection</em>.
A system will have an <em>infinite</em> number of <em>solutions</em> if the graphs <em>intersect at an infinite number of points</em>.
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<h3>linear equations</h3>
When the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.
If the lines have the same slope, there are two possibilities:
- the lines are parallel -- no solutions
- the lines are coincident -- infinite solutions
The attached graph illustrates these cases.
- the red and blue lines are the graphs of a system of equations with one solution. Those lines have different slopes
- the blue and green lines are the graphs of a system of equations with no solution. Those lines are parallel.
- The red and (dotted) purple lines are the graphs of a system of equations with infinite solutions. Those lines are coincident.
Answer:
Michael has 3 times more oranges than apples.
Step-by-step explanation:
Given that:
Number of apples = 06
Number of oranges = 18
Let,
x be the number of times.
Number of oranges = Number of times * Number of apples
18 = x * 6
18 = 6x
6x = 18
Dividing both sides by 6

Hence,
Michael has 3 times more oranges than apples.