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3 years ago

Please help me on this question

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Cool, this is what I just took

a1=first term
since it starts with -3, a1=3
sub
an=-3r^(n-1)
common ratio is what must be multiplied to get next term
-3 times what is -6
answer is 2
r=2
$a_{n}=-3(2^{n-1})$ is equaiton (first option)

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Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

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3x-4y=7

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So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

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$3-2=b$

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So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

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Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

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I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

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So option 5 looks good too.

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