SOLUTION: find an equation of the line satisfying the given conditions. parallel to the line 2x+y=3 and through (-2,3)

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Question 64949: find an equation of the line satisfying the given conditions.
parallel to the line 2x+y=3 and through (-2,3)
Found 2 solutions by josmiceli, funmath:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
parallel to the line 2x+%2B+y+=+3 and through (-2,3)
y+=+-2x+%2B+3
m+=+-2
A parallel line will have thwe same slope
y+=+mx+%2B+b
y+=+-2x+%2B+b
find b
3+=+%28-2%29%2A%28-2%29+%2B+b
3+=+4+%2B+b
b+=+-1
y+=+-2x+-+1 answer

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
find an equation of the line satisfying the given conditions.
parallel to the line 2x+y=3 and through (-2,3)
The equation of any line parallel to this one would have the same slope as this one. We need to find out what that is by putting this equation into slope intercept form:highlight%28y=mx%2Bb%29, m=slope and b=y-intercept.
2x%2By=3
2x-2x%2By=-2x%2B3
y=-2x%2B3 the slope, m=-2
Now that we have a slope and a point, we can use the point slope formula to find the equation of the line: highlight%28y-y1=m%28x-x1%29%29
m=-2 and (x1,y1)=(-2,3)
y-3=-2%28x-%28-2%29%29
y-3=-2%28x%2B2%29
y-3=-2x-4
y-3%2B3=-2x-4%2B3
highlight%28y=-2x-1%29
Happy Calculating!!!