9514 1404 393
Explanation:
The correct order of the steps is ...
- (Given)
- (Definition of supplementary)
- (Substitution)
- (Subtraction ...)
- (Definition of congruent angles)
A proof always starts with "given". It always ends with a statement of what you have proved.
To fill in the sequence between these, it helps to think about what the relationships are and why you can conclude that the theorem is correct.
a) find the slope of the line using the given points.
Slope: 9 - -3/6-0 then slope is 12/6 which is 2
Then using formula: y = mx+b
-3 = 2(0) + b
b = -3
The equation is: y = 2x -3
B. Slope of a perpendicular is -reciprocal of first line. So here the slope will be -1/2
y = mx + b is used again
2 = -1/2(0) + b
b = 2
The equation is: y = -1/2x +2
Answer: 
Move all terms containing y to the left, all other terms to the right
<u>Add -14y to each side of the equation</u>
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<u>Combine like terms: 5y + -14y = -9y
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<u>Combine like terms: 14y + -14y = 0
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<u>Add '20' to each side of the equation</u>
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<u>Combine like terms: -20 + 20 = 0
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<u>Combine like terms: 7 + 20 = 27
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<u>Divide each side by -9</u>
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