Answer: line d- y= (1/7)x
Step-by-step explanation:
1. rewrite line c into slope-intercept form (y=mx+b):
7x + y = 6
y = -7x + 6
2. since line d is perpendicular to line c, that means your slope for line d will be the opposite reciprocal of line c.
slope of line c: -7
slope of line d: 1/7
3. substitute point (7,1) to line d and find your b value (y-intercept).
line d: y = 1/7x + b
1 = 1/7(7) + b
1 = 1 + b
b = 0
4. since b is equal to zero, the equation of line d will be: y = (1/7)x
