Question

ASAP

Find, correct to two
decimal places, the shortest distance
from the point (4, -1) to the line y=-5x – 3
plz help!!
​

Answer 1

9514 1404 393

Answer:

4.31

Explanation:

The distance from point (x, y) to line ax +by +c = 0 is given by the formula ...

d = |ax +by +c|/√(a² +b²)

Putting the equation of the line into the required form, we have ...

5x +y +3 = 0

So, the distance from point (4, -1) to the line is ...

d = |5(4) +(-1) +3|/√(5² +1²) = 22/√26

d ≈ 4.31