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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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Vlada [557]

Answer:

m∠1= 79

Step-by-step explanation:

What we have here is two vertical lines and one intersecting point.

The m∠1 and m∠6 are vertical angles, which means that they equal to each other. So, the equation would be: 6x+25= 10x-11.

Step 1- Subtract 6x to both sides.

6x+25= 10x-11

-6x        -6x

25= 4x-11

Step 2- Add 11 to both sides.

25= 4x-11

+11       +11

36= 4x

Step 3- Divide both sides by 4.

<u>36</u>= <u>4x</u>

4     4

x= 9

Now that we know the value of the variable x, substitute it into the equation for m∠1.

m∠1= 10(9)-11

m∠1= 90-11

m∠= 79

<u>Check            </u>

m∠6= 6(9)+25

m∠6= 54+25

m∠6= 79

Since m∠1 and m∠6 are vertical angles, they should equal each other.

4 0
3 years ago
Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions
forsale [732]

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

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Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

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Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

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Hence the coordinate solutions are (3, 50) and (14,303)

8 0
3 years ago
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Nataly_w [17]
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divide by (length) on both sides.

(width)= (area)/(length).

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