3 years ago

What is the equation of the line passing through the points (-1,2) and (-2,-1)

1 answer:

8 0

The equation will be of the form y=ax+b, but we have to find a and b.
If you fill in the first point, you get:

2 = -a + b => b = 2+a

Second point:

-1 = -2a + b

Fill in first into second

-1 = -2a + 2 + a => -3 = -a => a=3

b = 2+a = 2+3 = 5

so the equation is

y=3x+5

Once you have this, it is safe to fill in both coordinates to double-check for mistakes.

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What is the explicit formula for this sequence?

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Answer:

The correct answer is b.)

Step-by-step explanation:

Given:

Sequence -7, -4, -1, 2, 5....... => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5

We conclude that this sequence is arithmetic series.

First we must find difference d:

d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3

d = 3