Consider a Line with Slope M and Y-Intercept (0,5) $- \frac { 1 } { 5 }$

Multiple Choice

Consider a line with slope m and y-intercept (0,5) .Find the slope that yields the maximum distance between the origin and the line. ​

A) The maximum distance of $- \frac { 1 } { 5 }$ occurs when the slope m is $- \frac { 1 } { 5 }$ and the line through (0,5) is horizontal.
B) The maximum distance of 5 occurs when the slope m is 0 and the line through (0,5) is horizontal.
C) The maximum distance of $\frac { 1 } { 5 }$ occurs when the slope m is 0 and the line through (0,5) is horizontal.
D) The maximum distance of 6 occurs when the slope m is 0 and the line through (0,6) is horizontal.
E) The maximum distance of $- 5$ occurs when the slope m is $\frac { 1 } { 5 }$ and the line through (0,5) is horizontal.