Question

Which is the distance between the point with the coordinates (-2, 3) and the line with the equation 6x - y = -3?

37
C. 637
a.
37
37
b. 337
d. 1237
37
37
Please select the best answer from the choices provided
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Answer 1

d. 12√37 / 37

Explanation:

standard formula for the distance between a point (x₀,y₀) and a line ax+by+c=0 is |a*x₀ + b*y₀ + c| / √a²+b²

(x₀,y₀) : (-2 , 3)

ax+by+c=0 : 6x - y +3 = 0

x₀ = -2 y₀ = 3 a = 6 b = -1 c = 3

d = | 6*(-2) + (-1)*3 + 3 | / √6²+(-1)²

d = 12 / √37 = 12√37 / 37