Question

Line with slope 2 passes through point (3, 8). What is the distance between this line and the point (8, 3)?

Answer 1

The answer to your question is 6.7 units or 15/√5

Answer 2

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