Answer:
y= 5\4x - 1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
First, rewrite the equation of the given line in the form of y=mx +c.
4X+5y=25
5y= -4X +25
y= -4\5X +5
The gradient of the given line is -4\5
The product of the gradient of perpendicular lines is -1.
(14\5)(gradient of the line) = -1
gradient of the line= -1 divided by (-4\5)
Thus, m=5\4
y=5\4x +C
Substitute a coordinate to find c.
When X= -4, y= -6,
-6 =5\4 (-4) +C
-6= -5 +C
C= 5-6
C= -1
Hence, the equation of the line is
y= 5\4x - 1
