y = 11/5 x + 7
Slope intercept form:
y=mx+b
Where:
m= slope
b= y-intercept
So, for the line given:
m= 11/5
b= 7
Perpendicular lines have negative reciprocal slopes.
negative reciprocal of 11/5 = -5/11
Slope = -5/11
So far we have:
y= -5/11 + b
Since it passes through the origin (0,0) replace and solve for b:
0= -5/11(0) +b
b=0
Final expression:
y= -5/11x