SOLUTION: Wite the slope intercept form of the equation of the line described Through: (1,-4), parallel to y = -x + 3 Through: (2,1), perp. To y = 2x - 2

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Question 652694: Wite the slope intercept form of the equation of the line described
Through: (1,-4), parallel to y = -x + 3
Through: (2,1), perp. To y = 2x - 2
Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use these facts:






to determine the slopes of your desired lines, then use the point-slope form of an equation of a line:



where are the coordinates of the given point and is the calculated slope.

John

My calculator said it, I believe it, that settles it
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

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.

Line Through: (1,-4), parallel to y = -x + 3 ( m = -1) Slopes the same

New Line

 y = -x + b  ||Using pt(1,-4) to solve for b

-4 = -1 + b

 -3 = b 

y = -x - 3



Through: (2,1), perp. To y = 2x - 2 (m = 2) New Line, m = -1/2

New Line

 y = (-1/2)x + b  ||Using pt(2,1) to solve for b

 1 = -1 + b

 2 = b

  y = (-1/2)x + 2