Answer:
<u>Point-slope form</u>: y - 8 = -9/2(x + 4)
Step-by-step explanation:
Given points (-4, 8) and (-2, -1)
In order to determine the point-slope form of the line, we must first solve for its slope by using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (-4, 8)
(x2, y2) = (-2, -1)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (-1 - 8)/ [-2 (-4)]
m = -9/(-2 + 4)
m = -9/2
Therefore, the slope is m = -9/2.
Next, using the slope, m = -9/2, and one of the given points, (-4, 8), substitute these values into the point-slope form:
y - y1 = m(x - x1)
y - 8 = -9/2[x - (-4)]
y - 8 = -9/2(x + 4)
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Answer: 
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Work Shown:


The trick here is to first simplify the expression so that the
term in the very lower denominator cancels out. This is to avoid dividing by zero. Once this division by zero error is avoided, we can replace the delta x term with 0 and evaluate the limit as
approaches 0 from the right or positive direction.
Answer:
$110
Step-by-step explanation:
we know
selling price = cost price + profit.
given
selling price of TV = $121
profit = 10%of cost
selling price of TV = cost of TV + 10%cost of TV
121 = cost of TV + 10/100 cost of TV
=> 121 = (100 cost of TV + 10 cost of TV)/100
=> 121*100 = 110 cost of TV
=> cost of TV = 121*100/110 = 110
Thus, cost price of TV is $110(option A)