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

question 405

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.

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