Question 205596
Find an equation of a line parrallel to -3x-3y=5
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All parallel lines have the same slope.
Find the slope of the given line by putting it into slope-intercept form (that means solve for y).
-3x-3y=5
-3y = 3x+5
y = -x - 5/3
So the slope, m, is -1
Use y-y1 = m*(x-x1) to find a line thru the point (x1,y1)
Use any point.
Thru (0,0):
y = -x That's one line that's parallel.
Thru (2,4):
y-4 = -1*(x-1)
y-4 = -x+1
y = -x + 5 That's another.
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Thru any point:
y = -x + any number --> lines parallel to the given line.
Or, x+y = any number