SOLUTION: Find the equation of the line that passes through the point (3,-6) and is parallel to the line 3x+y-10=0

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Question 650130: Find the equation of the line that passes through the point (3,-6) and is parallel to the line 3x+y-10=0
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Find the equation of the line that passes through the point (3,-6) and is parallel to the line 

3x+y-10=0    0r   y = -3x + 10

Using the standard slope-intercept form for an equation of a line y = mx + b

  where m is the slope and b the y-intercept. m = -3

parallel Lines have identical slopes

New Line

 y = -3x + b    | Using Ordered pair(x,y), Pt(3,-6) to solve for b

-6+=+-3%2A3+%2B+b

   3= b

 y = -3x +3    0r    3x + y = 3