Consider a line with slope m and y-intercept (0,3).Select the graph of the distance d between the point (2,1)and the line as a function of m.
A)
B)
C)
D)

Question

Consider a line with slope m and y-intercept (0,3).Select the graph of the distance d between the point (2,1)and the line as a function of m. ​
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

The distance between the point (2,1) and the line with slope m and y-intercept (0,3) can be found by the formula:
d = |m(2) - 1 + 3| / sqrt(1 + m^2)
Simplifying this expression, we get:
d = |2m + 2| / sqrt(1 + m^2)
The graph in choice C matches this equation. Therefore, choice C is the correct answer.

Consider a Line with Slope M and Y-Intercept (0,3)