SOLUTION: Can anyone help me figure this one out showing me the steps? Thank you. Which of the following equations is parallel to y = -3x + 6 and contains the point (-3, -5)? a. y= -3

Algebra ->  Linear-equations -> SOLUTION: Can anyone help me figure this one out showing me the steps? Thank you. Which of the following equations is parallel to y = -3x + 6 and contains the point (-3, -5)? a. y= -3      Log On


   

Question 91139: Can anyone help me figure this one out showing me the steps? Thank you.
Which of the following equations is parallel to y = -3x + 6 and contains the point (-3, -5)?
a. y= -3x-4
b. y= -3x-14
c. y= (-3/2)x-4
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 -3 (its from the slope of y=-3%2Ax%2B6 which is also -3). Also since the unknown line goes through (-3,-5), 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%2B5=-3%2A%28x%2B3%29 Plug in m=-3, x%5B1%5D=-3, and y%5B1%5D=-5



y%2B5=-3%2Ax%2B%283%29%28-3%29 Distribute -3



y%2B5=-3%2Ax-9 Multiply



y=-3%2Ax-9-5Subtract -5 from both sides to isolate y

y=-3%2Ax-14 Combine like terms

So the equation of the line that is parallel to y=-3%2Ax%2B6 and goes through (-3,-5) is y=-3%2Ax-14


So here are the graphs of the equations y=-3%2Ax%2B6 and y=-3%2Ax-14



graph of the given equation y=-3%2Ax%2B6 (red) and graph of the line y=-3%2Ax-14(green) that is parallel to the given graph and goes through (-3,-5)





So the answer is B)