Find the distance between the points A(-4, -3) and B(-8, 7). Round your answers to the nearest tenth.

distance = 10.8

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.

so, Pythagoras is used.

c² = a² + b²

c = the Hypotenuse (the side of the triangle being opposite to the 90 degree angle).

x- difference : -4 - -8 = +4

y- difference : -3 - 7 = -10

c² = +4² + (-10)² = 16 + 100 = 116

c = sqrt(116) = 10.8

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18