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Tasya [4]
3 years ago
13

How do you determine whether lines are parallel from their equations WHEN GIVEN SLOPE Y INTERCEPT FORM?

Mathematics
1 answer:
love history [14]3 years ago
5 0
Y= 1/3x+2
Y= 1/3x-9

These lines are parallel because the slopes are the same that's the number with the X . They never touch

Y= -1/2x+8
Y= 2x+ 8

If the X has opposite signs and they are reciprocal of each other like -1/2 and 2/1 they are perpendicular. They cross (intersect) each other and make a 90 degree angle. Perfect L shape when they cross each other they are perpendicular
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  The correct answer is marked.

Step-by-step explanation:

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What is true about the solution of x^2/2x-6=9/6x-18?
pogonyaev

Answer:

  • x = ±√3, and they are actual solutions
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Step-by-step explanation:

The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...

... x^2(6x -18) = (2x -6)(9)

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Alternatively, you can subtract the right side of the equation and collect terms to get ...

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So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.

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<em>Comment on the graph</em>

For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.

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