Question

Find the distance from the point (-4, 4) to the line y=-2x+1 . Round your answer to the nearest tenth.

Answer 1

Answer:

5 units.

Step-by-step explanation:

In order to find the distance between the line y = -2x + 1 and the point (-4, 4), we need to find the position of the line at x = -4. Shortest distance between two objects is a straight line, right?

So y = -2(-4) + 1 = 9; (-4, 9).

Finding the distance between (-4, 4) and (-4, 9) gives us the answer of 5.

Answer 2

Answer:

2.2 units

Step-by-step explanation:

Equation of the Perpendicular from (-4,4) to the given line:

m1 × m2 = -1

y = (½)x + c

4 = (½)(-4) + c

c = 6

y = (½)x + 6

Foot of the Perpendicular

(½)x + 6 = -2x + 1

5/2 x = -5

x = -2

y = -2(-2) + 1 = 5

(-2,5) and (-4,4)

sqrt[(5-4)² + (-2+4)²]

sqrt(1 + 4)

sqrt(5)

2.236067977