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What is the equation of the line that goes through (3,11) and is parallel to the line 2x-y=5

1 Answer

1 vote
The equation is y=2x+5
why?
2x-y=5
y=2x-5
from here we can find the slope, which is 2, and we know that parallel lines have equal slopes
the standard form of eq of line is y=mx+b
substitute y and x with the numbers from ordinate pair (3,11):
11=3*2+b
6+b=11
b=5
Now you can write the eq of line:
y=2x+5

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