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.

Question

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.

Quizplus · Accepted Answer

The maximum distance between the origin and a line with a y-intercept of (0,5) occurs when the line is horizontal, which means its slope (m) is 0. This configuration results in a direct vertical distance from the origin to the line, which is 5 units.

Consider a Line with Slope M and Y-Intercept (0,5) −15- \frac { 1 } { 5 }−51​

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