Answer:
The answer to your question is: 6.7 units or 15/√5
Explanation:
Data
slope = 2 Point (3, 8)
Another point (8, 3)
Formula
(y - y1) = m (x - x1)
d = |Ax + By + C| / √(A² + B²)
Process
Find the equation of the line
(y - 8) = 2(x - 3)
y - 8 = 2x - 6
2x - y + 2 = 0
Find the distance between the line andt the point
d = |2(8) - 1(3) + 2| / √2² + (-1)²
d = | 16 - 3 + 2| / √ 4 + 1
d = | 15 | / √5
d = 15 / √5
d = 6.7 units