Q:

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

Accepted Solution

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