Answer:

Step-by-step explanation:
y - 5 = 3⁄2(x + 6)
y - 5 = 3⁄2x + 9
+ 5 + 5
__________
y = 3⁄2x + 14
- 3⁄2x - 3⁄2x
________
−3⁄2x + y = 14 [We do not want mixed numbers\fractions in our standard equation, so multiply by the denominator to get rid of it.]
−2[−3⁄2x + y = 14]

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Answer: the slope is 5/3
Step-by-step explanation:
The slope intercept form represents the equation of a straight line. It is expressed as
y = mx + c
Where
m = slope
c = intercept
The given equation is 5x - 3y = 2
Rearranging it so that it will conform to the slope intercept form of equation, it becomes
3y = 5x - 2
y = 5x/3 - 2/3
Comparing with the slope intercept equation,
Slope, m = 5/3
If two lines are parallel, it means that they have the same slope. It means that the slope of the line parallel to the given line is 5/3
Answer:
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Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
We start with the equation: 
Substitute the variables: 
Solve using order of operations (start with multiplication): 
And then addition/subtration: 