SOLUTION: Find the equation of the line. Write the equation using function notation. Through (3, -8) and perpendicular to 8y=x-16

Algebra ->  Graphs -> SOLUTION: Find the equation of the line. Write the equation using function notation. Through (3, -8) and perpendicular to 8y=x-16      Log On


   

Question 925380: Find the equation of the line. Write the equation using function notation.
Through (3, -8) and perpendicular to 8y=x-16
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
the standard slope-intercept form for an equation of a line is
y+=+highlight_green%28m%29x+%2B+highlight%28b%29 where m is the slope and b the y-intercept.
perpendicular to 8y=x-16 0r y+=+highlight_green%281%2F8%29x+%2B+highlight%28-2%29 ,
...
New Line
Through (3, -8)
m = -8 (negative reciprocal of (1/8) -8%281%2F8%29+=+-1
***Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29
y + 8 = -8(x-3)
y = -8x - 16
0r
8x + y = -16