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tangare [24]
3 years ago
5

Write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through (-3,-6) and (2,-2). So, the equation of line is

y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))

y+6=\dfrac{-2+6}{2+3}(x+3)

y+6=\dfrac{4}{5}(x+3)

y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)

Subtract 6 from both sides.

y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6

y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}

y=\dfrac{4}{5}(x)+\dfrac{-18}{5}

y=\dfrac{4}{5}(x)-\dfrac{18}{5}

Therefore, the equation of line is y=\dfrac{4}{5}(x)-\dfrac{18}{5}.

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Answer:

D. $39,706.20

Step-by-step explanation:

In this problem, you are subtracting 14%. A way you could do this is buy finding 14% of $46,170.00, then subtracting that from itself. Or instead, you could find 86%. This works because its like your subtracting 14% from the whole 100%. so 100 - 14 = 86.

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2 years ago
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