Answer:
Step-by-step explanation:
Given the points R(-4, 5) and S(2, -1), to get the distance between the points, we will use the formula;
D = √(x2-x1)²+(y2-y1)²
Given x1= -4, y1 = 5, x2 = 2 and y2 = -1
RS = √(2-(-4))²+(-1-5)²
RS = √(6)²+(-6)²
RS = √36+36
RS = √72
RS = √2×36
RS = 6√2units
To get the midpoint, we will use the formula M(X,Y) = (x1+x2/2, y1+y2/2)
(X,Y) = (-4+2/2, -1+5/2)
(X,Y) = (-2/2, 4/2)
(X,Y) = (-1,2)
Hence the midpoint is (-1,2)
To get a point P 1/3 of the distance of RS, we will multiply 1/3 with the the distance RS as shown
P = 1/3 × 6√2
P = 2√2
