The given line passes through the points (−4, −3) and (4, 1).
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First, illustrate the problem into a diagram like the one shown in the attached picture. The component vectors are shown in red (y-component) and blue (x-component). Since this is a right triangle, let's apply the trigonometric functions of sine and cos.
y-component, vy:
sin (π/3) = vy/8
vy = 6.928
x-component, vx:
cos (π/3) = vx/8
vx = 4
y-component, vy:
sin (π/3) = vy/8
vy = 6.928
x-component, vx:
cos (π/3) = vx/8
vx = 4