SOLUTION: Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given po

Algebra ->  Linear-equations -> SOLUTION: Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given po      Log On


   

Question 266779: Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line.
(1,-2); 8x=5y-4
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
step 1 - solve the equation for y. we get
8x=5y-4
add 4 to get
5y+=+8x+%2B+4
divide by 5 to get
y+=+%288%2F5%29x+%2B+4%2F5
---
step 2 - determine parallel and perpendicular slopes.
parallel slope = m = (8/5)
perpendicular slope = m = (-5/8)
---
step 3 - line passing through (1,-2) with slope = m = (8/5)
y+=+mx+%2B+b
-2+=+%288%2F5%29%281%29+%2B+b
b+=+-18%2F5
y+=+%288%2F5%29x+-+18%2F5
---
step 4 - line passing through (1,-2) with slope = m = -(5/8)
y+=+mx+%2B+b
-2+=+-%285%2F8%29%281%29+%2B+b
b+=+-11%2F8
y+=+-%285%2F8%29x+-+11%2F8