SOLUTION: Write an equation in Slope-intercept form for the line that is parallel to the line y = -5/2 x + 6 and that passes through the given point (-4,-6). Can anyone help me? I'm not goo

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Question 1045549: Write an equation in Slope-intercept form for the line that is parallel to the line y = -5/2 x + 6 and that passes through the given point (-4,-6).
Can anyone help me? I'm not good with fractions..
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the line that is parallel to the line y+=+-%285%2F2%29x+%2B+6 and that passes through the given point (-4,-6)

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 -5%2F2 (its from the slope of y=%28-5%2F2%29%2Ax%2B6 which is also -5%2F2). Also since the unknown line goes through (-4,-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%2B6=%28-5%2F2%29%2A%28x%2B4%29 Plug in m=-5%2F2, x%5B1%5D=-4, and y%5B1%5D=-6



y%2B6=%28-5%2F2%29%2Ax%2B%285%2F2%29%28-4%29 Distribute -5%2F2



y%2B6=%28-5%2F2%29%2Ax-20%2F2 Multiply



y=%28-5%2F2%29%2Ax-20%2F2-6Subtract -6 from both sides to isolate y

y=%28-5%2F2%29%2Ax-20%2F2-12%2F2 Make into equivalent fractions with equal denominators



y=%28-5%2F2%29%2Ax-32%2F2 Combine the fractions



y=%28-5%2F2%29%2Ax-16 Reduce any fractions

So the equation of the line that is parallel to y=%28-5%2F2%29%2Ax%2B6 and goes through (-4,-6) is y=%28-5%2F2%29%2Ax-16


So here are the graphs of the equations y=%28-5%2F2%29%2Ax%2B6 and y=%28-5%2F2%29%2Ax-16



graph of the given equation y=%28-5%2F2%29%2Ax%2B6 (red) and graph of the line y=%28-5%2F2%29%2Ax-16(green) that is parallel to the given graph and goes through (-4,-6)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation in Slope-intercept form for the line that is parallel to the line y = -5/2 x + 6 and that passes through the given point (-4,-6).
Can anyone help me? I'm not good with fractions..
Parallel lines have the same slope

Slope of line: y+=+%28-5%2F2%29x+%2B+6: -5%2F2

m, or slope of equation requested: -+5%2F2; Point: (- 4, - 6)

Using point-slope form: y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29, we get: 

matrix%281%2C2%2C+y+-+-+6+=+-+%225%22%2F2%2C+%28x+-+-+4%29%29

matrix%281%2C2%2C+y+%2B+6+=+-+%225%22%2F2%2C+%28x+%2B+4%29%29

matrix%281%2C2%2C+y+%2B+6+=+-+%225%22%2F2%2C+x+-+10%29

highlight_green%28matrix%281%2C2%2C+y+=+-+%225%22%2F2%2C+x+-+16%29%29