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myrzilka [38]
3 years ago
11

What is the slope of the line that passes through the points (2, 8) and (6, 12)?

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0
Yeah, where I live, to find the slope (or as we call it, the gradient), you just have to do the two y values subtracted from each other, over the two x values subtracted from each other. The important thing is to remember that if you subtract the first y value from the second (so, 12 - 8), you have to do the same thing for the x (6 - 2)

\frac{12-8}{6-2} = \frac{4}{4} = 1.

The slope is 1. 
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Part 1
We are given x^2-21x=-4x. This can be rewritten as x^2-18x=0.
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Using the quadratic formula
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The values of x are
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     x_2=\frac{18+18}{2}=18

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function. 

Part 3.
The first equation is y=x^2+2.
The second equation is y=3x+20.

We have 
     x^2+2=3x+20
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Factoring, we have 
     \left(x-6\right)\left(x+3\right)=0
Equating both factors to zero.
     x_1-6=0\rightarrow x_1=6
     x_2+3=0\rightarrow x_2=-3

When the value of x is 6, the value of y is 
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When the value of x is -3, the value of y is 
     y=3\left(-3\right)+20=11

Therefore, the solutions are (6,38) or (-3,11)
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