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Dmitry [639]
3 years ago
8

What is the correct answer?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0
The answer is -5 + j 3rt(3)
Letter B

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What is an equation of the line that passes through the points (4,-6) and (8,-4)​
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The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the gradient formula above,

m =  \frac{ -4 - ( - 6)}{8 - 4}  \\ m =  \frac{ - 4 + 6}{4}  \\ m =  \frac{2}{4}  \\ m =  \frac{1}{2}

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

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c= -8 <em>(</em><em>simplify</em><em>)</em>

Thus, the equation of the line is y= ½x -8.

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