ANSWER: 8 meters
I hope this helps you :)
The formula for point slope form is (y-y1) = m(x - x1)
In this formula m will always be the slope. So, you can substitute 3 in for m
(y-y1) = 3(x-x1)
y1 is the y-coordinate and x1 is the x-coordinate. So, you can substitute them in and you will be done.
(y - 1) = 3(x - (-2))
But since it is minus a negative it changes to a positive so it would be:
(y -1) = 3(x + 2)
Hope this helps!
Area = (angle/2π)*π*r^2 because the area of a sector is basically the total area (π*r^2) divided by the fraction of the whole (angle/2π). 2π = the whole of the circle in radians.
So for your problem Area = (5π/2/2π)*π*(4^2) = (5π/4π)*π*(16) = (5/4)*(3.14)*(16) = 20*(3.14) = 62.8
Hope this helps!