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4 years ago

Solve the system of equations

Mathematics

2 answers:

Aleonysh [2.5K]4 years ago

7 0

Answer is B. Just plug them in and it works! :)

topjm [15]4 years ago

5 0

The answer is B, X=2, Y=-1

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Complete the equation of the line through (-10,-7) and (-5, -9).<br>Use exact numbers,

steposvetlana [31]

Answer:

$y=\frac{-5}{2}*x + 18$

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

$y=m*x+b$

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

$m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}$

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

$m=\frac{-5 - (-10) }{-9 - (-7)}$

Resulting that $\frac{-5}{2}$

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

$-7=\frac{-5}{2}*(-10)+b$

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.

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