SOLUTION: find an equation of a line that contains the point (-4,7) and is parallel to y=9/3

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Question 653194: find an equation of a line that contains the point (-4,7) and is parallel to y=9/3
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

+y=9%2F3....=>...+y=3
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 (its from the slope of y=0%2Ax%2B3 which is also 0). Also since the unknown line goes through (-4,7), 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-7=0%2A%28x%2B4%29 Plug in m=0, x%5B1%5D=-4, and y%5B1%5D=7



y-7=0%2Ax-%280%29%28-4%29 Distribute 0



y-7=0%2Ax-0 Multiply



y=0%2Ax-0%2B7Add 7 to both sides to isolate y

y=0%2Ax%2B7 Combine like terms

So the equation of the line that is parallel to y=0%2Ax%2B3 and goes through (-4,7) is y=0%2Ax%2B7


So here are the graphs of the equations y=0%2Ax%2B3 and y=0%2Ax%2B7



graph of the given equation y=0%2Ax%2B3 (red) and graph of the line y=0%2Ax%2B7(green) that is parallel to the given graph and goes through (-4,7)