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madreJ [45]
3 years ago
11

What is the equation of the line

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0
Hello there!


The answer is B. \frac{2}{7}
-----------------------------------------------------------------------------------------------------

Explanation and Work:



We first must identify if the line goes through the origin or not. 

The origin is (0, 0) 

The line does go through the origin. This means that there is no y-intercept

The specific equation we would you use would be:

y = kx

K is the constant

We find this by finding the slope.

Slope is found by:

\frac{y2 - y1}{x2 - x1} 

y2 = 2

y1 = 0

x2 = 7

x1 = 0

Now, let's plug in these numbers.

\frac{2-0}{7-0} =  \frac{2}{7}

So, now let's plug he slope into our formula.

y = \frac{2}{7} x

So, our answer would be B.


I hope I helped!

Let me know if you need anything else!

~ Zoe


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ANSWER



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EXPLANATION



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0=2x^2+3x-8



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2x^2+3x-8=0

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

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The quadratic formula is given by;


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x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}

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We now split the plus or minus sign to obtain;


x=\frac{-3-\sqrt{73}}{4}


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