Find the equation of a line parallel to a given line

Nelson01

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Joined
Jan 17, 2009
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3
Find an equation of the line that passes through the point (-2, 3) and is parallel to the line 4x + 4y = 8.
Is there any general formula for this....?....HELP.....
 
Sure,
you need either 2 points,
which you don't have here,
or a point and the line slope to write the equation of a line.

You are given a clue to find the slope.
4x+4y=8 can be arranged to y=mx+c form, where m is the slope.
The slope is called m as it is the multiplier of x in the equation y=mx+c
Parallel lines have equal slope.

4y=-4x+8
y=-x+2

Slope is -1 for both lines.

\(\displaystyle -1=\frac{y-y_1}{x-x_1}=\frac{y-3}{x-(-2)}=\frac{y-3}{x+2}\)

\(\displaystyle -(x+2)=y-3\)

\(\displaystyle y=-x-2+3=1-x\)
 
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