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

Question

asked Jul 7, 2023 119k views

1 Answer

Jduv · Answer 1 · 2023-07-13T03:45:34+0000

Answer: D

Explanation:

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

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