Let the slope of the line be m. Slope of the line 2x+8y=10 is
−2
8
=−
1
4
since, both the lines are perpendicular. ∴m=
−1
(−
1
4
)
=4 Hence, equation of the required line will be y=4x+c It is given that, above line pass through (5,0) . Then, 0=4×5+c ⇒c=−20 So, the line will intersect the Y -axis at (0,-20) .