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klemol [59]
3 years ago
14

Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

Yes, (6, -2) is a solution to the given system of equations.

Step-by-step explanation:

Please write  y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:

y = (–1/6)x − 1

y = (1/6)x − 3

Let's actually solve this system:

y = (–1/6)x − 1

y = (1/6)x − 3

-----------------------

2y = -4, or y = -2

Now find x.  Arbitrarily we choose to use the first equation for this purpose:

y = (-1/6)x - 1.  We set y = -2 and find x:    -2 = (-1/6)x - 1

Combining the constants, we get -1 = (-1/6)x, or 6 = x

Yes, (6, -2) is a solution to the given system of equations.

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Which is the equation of the given line? (-10,-7) (3,-7)
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Answer:  y=-7

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

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Where "m" is the slope of the line and "b" is the y-intercept.

Find the slope with this formula:

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Given the points (-10,-7) (3,-7), substitute values into the formula. Then:

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Substitute the slope and any point into  y=mx+b and solve for "b":

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Answer:

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Step-by-step explanation:

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We have to find the relationship between a linear pair and supplementary angles.

Since A linear pair forms a straight line so angle formed at any point on the straight line is 180°, thus forms supplementary angles.

Thus, Relationship between a linear pair and supplementary angles is " If two angles form a linear pair then they are supplementary."


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