Answer :
y= 4x+5
Slope= 4
2x+8y=16
First, express the second equation in slope-intercept form:
y=mx+b
Where ;
m= slope
b= y-intercept
So, we have to solve for y:
8y=-2x+16
y= (-2x+16)/8
y= -1/4x+2
Slope = -1/4
So, both slopes are negative reciprocal of each other:
4 , -1/4
Perpendicular lines have negative reciprocal slopes.
So, both lines are Perpendicular.