32.) write an equation in point-slope form for the line through the given point with the given slope.

( 8 , - 3 ) ; m = - 1/4

a.) y - 8 = - 1/4 ( x + 3 )

b.) y + 3 = - 1/4 ( x - 8 )

c.) y - 3 = - 1/4 ( x + 8 )

d.) y - 3 = - 1/4 ( x - 8 )

Explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

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constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

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