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svetoff [14.1K]
3 years ago
15

Find the equation of the line that passes through the point (−3, −4) and is parallel to the line that passes through the points

(−5, 1) and (7, −3).
Mathematics
1 answer:
Dimas [21]3 years ago
8 0

Answer:

y = -\frac{1}{3}x - 5

Step-by-step explanation:

To write the equation of a line use the point slope formula y - y_1 = m(x-x_1). Find m by using the slope formula with the points.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{1--3}{-5-7} =\frac{4}{-12} =-\frac{1}{3}

Since the line is parallel, it will have the same slope.

Substitute m = -1/3 and (-3,-4).

y --4 = -\frac{1}{3}(x --3)\\y + 4 = -\frac{1}{3}(x+3)\\y +4 = -\frac{1}{3}x - 1\\y = -\frac{1}{3}x - 5

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Y=1/2×-6 ×=-4 what is the solution to the system of equations
hodyreva [135]

Answer:

(-4, -8)

Step-by-step explanation:

Use the substitution method.  x = -4, so y = (1/2)x - 6 becomes:

y = (1/2)(-4) - 6, or y = -2 - 6, or y = -8.

The solution is (-4, -8).

8 0
3 years ago
What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,
emmainna [20.7K]

9514 1404 393

Answer:

  C.  (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

  (9, 15)

Then the translation up by 3 will give you the image coordinates ...

  (x, y) ⇒ (x, y+3)

  (9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0
3 years ago
Yesterday, I ran less than 5 kilometers but more than. 1,200 meters. How far could I have run?
taurus [48]
Less then 5 kilometers and more then 1,200 meters obv
7 0
2 years ago
I need help find the coordinates
stellarik [79]

2×2=4

4÷2=2

4+2=6

4+2+6=12

we know that,

put a number you like anything I will write x°

x°+12°=90°

90°-12°=78°,,

again,

78°-12°=66°,,

now,

remove 6° from 60°

60

-----

12

=5,,

5 0
4 years ago
Need help with math probelem i will give you 5 stars and a good rating
ArbitrLikvidat [17]

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

7 0
2 years ago
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