Answer:
The slope of a line perpendicular to the line whose equation is 4x - 5y = 10 is -5/4.
Step-by-step explanation:
provided the equation;
4x- 5y=10.(let it be equation of line1 )
and the other line be line2
from perpendicularty principle
M1×M2= -1
BUT for M1(slope of line L1)
y= mx+c
where "c" is constant value.
"m" is slope.
therefore
5y= 4x - 10
(dividing by five throughout)
y=(4x/5) - 2
y= (4/5)x - 2
therefore M1= (4/5)
Returning back to our principle
M1×M2= -1
(4/5)M2=-1
M2= -5/4
