Answer: D. y = 1/5 x - 1
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the line
The slope of the given line m is - 5
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line, I passing through (5, 0) is 1/5
To determine the y intercept, we would substitute m = 1/5, x = 5 and y = 0 into y = mx + c. It becomes
0 = 1/5 × 5 + c
0 = 1 + c
c = 0 - 1
c = - 1
The equation becomes
y = x/5 - 1
