Find the slope of the line that passes through the points (-3,-2) and (-3,6)

You must use the slope formula to find out what the slope is between the lines. The slope formula is: (y2 - y1)/(x2 - x1). Plug in the points to get your answer.

You have the points (-3, -2) and (-3, 6). The x-coordinates are -3 and -3 while the y-coordinates are -2 and 6.

(6 - (-2)/(-3 - (-3))
8/0

You cannot divide by zero, so the slope is undefined. This means the line that the points both fall on is a vertical line and is unable to have a slope.

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.