SOLUTION: An equation of a line through (-6, 6) which is parallel to the line y = 4x +4 has slope: and y intercept at:

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Question 274921: An equation of a line through (-6, 6) which is parallel to the line y = 4x +4 has slope: and y intercept at:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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 4 (its from the slope of y=4%2Ax%2B4 which is also 4). Also since the unknown line goes through (-6,6), 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-6=4%2A%28x%2B6%29 Plug in m=4, x%5B1%5D=-6, and y%5B1%5D=6



y-6=4%2Ax-%284%29%28-6%29 Distribute 4



y-6=4%2Ax%2B24 Multiply



y=4%2Ax%2B24%2B6Add 6 to both sides to isolate y

y=4%2Ax%2B30 Combine like terms

So the equation of the line that is parallel to y=4%2Ax%2B4 and goes through (-6,6) is y=4%2Ax%2B30


So here are the graphs of the equations y=4%2Ax%2B4 and y=4%2Ax%2B30



graph of the given equation y=4%2Ax%2B4 (red) and graph of the line y=4%2Ax%2B30(green) that is parallel to the given graph and goes through (-6,6)