SOLUTION: I need to find a line parallel to 3x - 5y = 10 passing through (-5,1).

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Question 665191: I need to find a line parallel to 3x - 5y = 10 passing through (-5,1).
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

3x+-+5y+=+10 ..=>.3x+-10=+5y ...=>...y=%283%2F5%29x+-2...=>...y=0.6x+-2

passing through (-5,1).
Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line


Since any two parallel lines have the same slope we know the slope of the unknown line is 0.6 (its from the slope of y=0.6%2Ax-2 which is also 0.6). Also since the unknown line goes through (-5,1), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope and (x%5B1%5D,y%5B1%5D) is the given point



y-1=0.6%2A%28x%2B5%29 Plug in m=0.6, x%5B1%5D=-5, and y%5B1%5D=1



y-1=0.6%2Ax-%280.6%29%28-5%29 Distribute 0.6



y-1=0.6%2Ax%2B3 Multiply



y=0.6%2Ax%2B3%2B1Add 1 to both sides to isolate y

y=0.6%2Ax%2B4 Combine like terms

So the equation of the line that is parallel to y=0.6%2Ax-2 and goes through (-5,1) is y=0.6%2Ax%2B4


So here are the graphs of the equations y=0.6%2Ax-2 and y=0.6%2Ax%2B4



graph of the given equation y=0.6%2Ax-2 (red) and graph of the line y=0.6%2Ax%2B4(green) that is parallel to the given graph and goes through (-5,1)