Question

Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).

A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units

Answer 1

Answer: D

Explanation:

We can rewrite the equation of the line as
`5x-y+12=0`.

Using the perpendicular distance formula, the distance is
`(|(5)(5)+(-1)(12)+12|)/(√(5^2 +(-1)^2)) \approx 4.90`