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2 years ago

9

Determine the equation of the line passing through the points (4,-1) and (-2,-4)

1 answer:

jenyasd209 [6]2 years ago

8 0

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

$m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}$

the equation:

with the point (4, -1)

$y-(-1)=\frac{1}{2} (x-4)$

$y+1=\frac{1}{2}x-2$

$y=\frac{1}{2} x-2-1$

$y=\frac{1}{2} x-3$

I hope this help you

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mario62 [17]

a.

In order to find the common ratio, we just need to divide a term by the term that comes before it.

So using the terms 20 and -5, we have:

$\text{ratio}=\frac{20}{-5}=-4$

b.

The recursive rule can be found with the formula:

$a_n=a_{n-1}\cdot q$

Where an is the nth term and q is the ratio. So we have:

$a_n=a_{n-1}\cdot(-4)$

c.

The explicit rule can be written as:

$a_n=a_1\cdot q^{n-1}$

Where an is the nth term, a1 is the first term and q is the ratio. So:

$a_n=-5\cdot(-4)^{n-1}$

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10 months ago

After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?

jolli1 [7]

The vertex is $(-1,1)$

Explanation:

The equation is $f(x)=2x^{2} +4x+3$

To find the vertex, we need the equation in the form of $f(x)=a (x-h)^{2}+k$

Dividing each term by 2 in the equation $f(x)=2x^{2} +4x+3$

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Multiplying 2 into the bracket, we get,

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