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ohaa [14]
3 years ago
8

Write the point-slope equation of the line that goes through (5, 3) with a slope of -12.

Mathematics
2 answers:
atroni [7]3 years ago
8 0

Step-by-step explanation:

Point slope equation:

y - y1 = m(x - x1)

Insert the values:

y - 3 = -12(x - 5)

VLD [36.1K]3 years ago
7 0

Answer:

y-3=-12(x-5)

Step-by-step explanation:

Point Slope form is: y-y_1=m(x-x_1)

Where:

(x_1,y_1)-\text {Coordinate Point}\\m-\text{Slope}

In the given question, the slope is -12 and the point given is (5,3).

So:

m=-12\\(x_1,y_1)=(5,3)

Replace the variables with the appropriate values.

We get:

y-3=-12(x-5)

So, y-3=-12(x-5) should be your answer.

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The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additi
Ksju [112]

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

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The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a
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3 years ago
Read 2 more answers
How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?
ICE Princess25 [194]

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

f(x)=9-x^2

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at <em>x</em> = 0, our function evaluates to:

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Then by the slope formula, our average rate of change will be:

\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3

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3 years ago
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