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Answer:
The equation of other line parallel to given line is y = + 5 .
Step-by-step explanation:
Given as :
The equation of a line is
x - 2 y = 6
Or, 2 y = x - 6
Or, y = x -
i.e y = x - 3
The standard equation of line is given as
y = m x + c
where m is the slope of line
Now, comparing given line with standard line equation
The slope of line x - 2 y = 6 is m =
<u>Again</u>
Other line is passing through point (- 2 , 4) and is parallel to given line
For parallel line condition
slope of both lines are equal
Let The slope of other line = M
So, M = m =
<u>Again</u>
Equation of line with slope and passing through point (-2 , 4)
y - = M ( x -
)
i.e y - 4 = () ( x + 2)
Or, y - 4 = + 1
Or, y = + 1 + 4
i.e y = + 5
Hence, The equation of other line parallel to given line is y = + 5 . Answer