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sergey [27]
2 years ago
6

Can someone please help me with this question?

Mathematics
1 answer:
muminat2 years ago
7 0

Answer:

y = -x - 2

Explanation:

If line r is parallel to line q, they will have the same slope.

Rearrange line q to isolate “y”, which will give you line r in slope-intercept form: y = mx + b, where m is the slope.

5x + 5y = -9

5y = -5x - 9

y = -x-\frac{9}{5}

m = -1

Use point-slope form:

y-y_{1} = m(x-x_{1})

Substitute the slope m = 1 and the point on line q, (-1, -1).

y - (-1) = -1(x - (-1))

y + 1 = -(x + 1)

y + 1 = -x - 1

y = -x -2

Therefore, the equation of line r is y = -x - 2.

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Answer:

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Step-by-step explanation:

We can substitute first y in the second y. Both equations are also functions. We can merge the equations.

2x - 1 = x - 8  \\ 2x - x =  - 8 + 1 \\ x =  - 7

Substitute x = -7 in any given equations. I will choose the second equation to substitute in.

y = x - 8 \\ y =  - 7 - 8 \\ y =  - 15

<u>Answer</u><u> </u><u>Check</u>

Substitute both x and y in both equations.

- 15 = 2( - 7) - 1 \\  - 15 =  - 14 - 1 \\  - 15 =  - 15

The equation is true for (-7,-15).

- 15 =  - 7 - 8 \\  - 15 =  - 15

The second equation is true for (-7,-15).

Therefore our answer is (-7,-15)

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