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3 years ago

What is the slope-intercept equation for this

Mathematics

1 answer:

ZanzabumX [31]3 years ago

3 0

Answer:

Y = 2x - 4

Slope is 2.

Y-intercept is -4.

Step-by-step explanation:

To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.

And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.

Or you could also rearrange the equation. . .

6x - 3y = 12.
Subtract 6 from both sides.
-3y = -6x + 12
Divide by -3 to isolate the y.
y = 2x - 4.

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yes.

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2 years ago

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3 years ago

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3 years ago

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What are the ordered pairs of the

9966 [12]

Start by writing the system down, I will use $y$ to represent $f(x)$

$y=x^2-5x+3\wedge y=-3$

Substitute the fact that $y=-3$ into the first equation to get,

$-3=x^2-5x+3$

Simplify into a quadratic form ( $ax^2+bx+c=0$ ),

$x^2-5x+6=0$

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

$x^2+x(m+n)+mn=0$

which then must factor into

$(x+m)(x+n)=0$

And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

This fits the definition as $5=3+2$ and $6=2\cdot3$ .

So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

Hope this helps :)

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2 years ago

Solve. 8 1 7 3*+ 3x = 4 + x 3 The value of x is What is the value of x ?

nadya68 [22]

Answer:

I got 1/2 one half..

Step-by-step explanation:

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2 years ago