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Anon25 [30]
3 years ago
6

What is an equation of the line that passes through the points (3, 1)(3,1) and (-3, -7)(−3,−7)?

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

y = (4/3)x - 3

Step-by-step explanation:

What is an equation of the line that passes through the points (3, 1) and (-3,  -7)?  (Do not repeat the coordinates of the points.)

First we need to find the slope of the line through these two points.  From (-3, -7) to (3, 1), x increases by 6 (which is the 'run') and y increases from -7 to 1 ( a 'rise' of 8).  Thus, the slope of this line is m = rise/run = 8/6, or m = 4/3.

Using the point-slope formula as our starting point, we insert the known values m = 4/3 and point (3, 1):

y - k = m(x - h) becomes y - 1 = (4/3)(x - 3).  This in itself is a satisfactory answer.  We could also write this equation in slope-intercept form, as follows:

y = 1 + (4/3)x - 4, or

y = (4/3)x - 3

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The number of square feet of the carpet is the area of the carpet

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<h3>How to determine the number of square feet</h3>

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The outdoor carpet can be divided to the following shapes from top to bottom

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So, the area of the outdoor carpet is:

Area = 4 * 2 + 6 * 2 + 6 * 2

This gives

Area = 32

Hence, the number of square feet of outdoor carpet is 32 feet

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5 0
3 years ago
Question: if Cory walks 3 units south and 4 units east, what would his new coordinate be?
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Answer:

(5,-2).

_______________________

South is Negative Y axis.

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(look at the compass in the top right corner)

Cory's current coordinates are (1,1).

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Part A:

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Part B:

Big City Light and Connex.

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