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borishaifa [10]
3 years ago
15

Given the graph of a line y=−x. Write an equation of a line which is parallel and goes through the point (−8,2)

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

The parallel line would be y = -x - 6

Step-by-step explanation:

In order to find the parallel line, we must first start with the slope. The slope of parallel lines must be equal. The first line has a slope of -1. Using this and the new point in slope intercept form, we can solve for the intercept.

y = mx + b

2 = -1(-8) + b

2 = 8 + b

-6 = b

Now we can model the equation using that slope and the intercept.

y = -x - 6

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mario62 [17]
Answer: choice A) 7017

==========================================================

Work Shown:

The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7

The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7

----------

The 1000th term corresponds to n = 1000

Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify

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