SOLUTION: Find an equation of the line satisfying the given conditions Through (-4,3); perpendicular to -8x+5y=77 possible answers: 5x+8y=4 5x-8y=77 -8x-5y=4 5x-8y=4

Algebra.Com
Question 201388: Find an equation of the line satisfying the given conditions
Through (-4,3); perpendicular to -8x+5y=77
possible answers:
5x+8y=4
5x-8y=77
-8x-5y=4
5x-8y=4

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find an equation of the line satisfying the given conditions
Through (-4,3); perpendicular to -8x+5y=77
------------------
Find the slope of -8x+5y=77 by putting it in slope-intercept form y=mx+b (that means solve for y).
-8x+5y=77
5y = 8x + 77
y = (8/5)x + 77/5
The slope, m, is 8/5. Lines perpendicular will have a slope that's the negative invervse, m = -5/8.
------------------
y-y1 = m*(x-x1) where (x1,y1) is the point (-4,3)
y-3 = (-5/8)*(x+4)
8y-24 = -5x - 20
5x+8y = 4

RELATED QUESTIONS

Find an equation of the line satisfying the given conditions. Through (-4,3);... (answered by Earlsdon,RAY100)
Find an equation of the line satisfying the given conditions. Passing through (4,−3) (answered by josmiceli)
Find an equation of the the line satisfying the given conditions. Through (2, 8);... (answered by nerdybill)
Find an equation of the the line satisfying the given conditions. Through (4, 9);... (answered by ikleyn)
Find an equation of the the line satisfying the given conditions. Through (-3, -2);... (answered by checkley77)
Quesiton - Find an equation of the line satisfying the given conditions. Through (6,8) (answered by jim_thompson5910)
Find the equation of the line satisfying the given conditions, giving it in... (answered by checkley71)
Find an equation of the line satisfying the given conditions. Write the equation in... (answered by jim_thompson5910)
Find an equation of the line satisfying the given conditions. Through (7,2);... (answered by ankor@dixie-net.com)