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NikAS [45]
4 years ago
10

Write in slope intercept form y-6=2(x+3)

Mathematics
2 answers:
GrogVix [38]4 years ago
5 0

Slope intercept form = y = mx + b

To convert to slope intercept form, we need simply only isolate the y variable.

y - 6 = 2(x + 3)

First, distributive property.

y - 6 = 2x + 6

Aadd 6 to both sides.

<h3>y = 2x + 12</h3><h3>The equation is now in slope intercept form.</h3>
tester [92]4 years ago
3 0

Answer:

y = 2x + 12 is your answer.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other.

First, distribute 2 to all terms within the parenthesis.

y - 6 = 2(x + 3)

y - 6 = 2x + 6

Next, isolate the variable y. Add 6 to both sides.

y - 6 (+6) = 2x + 6 (+6)

y = 2x + 6 + 6

y = 2x + 12

y = 2x + 12 is your answer.

~

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Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
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it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
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