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maksim [4K]
3 years ago
13

what are the coordinates of the midpoint of the line segment with endpoints B(9, -8) C(2, -5) ANSWER BY TODAY PLEASE

Mathematics
1 answer:
qwelly [4]3 years ago
4 0
Y2-y1    -5-(-8)      3
____ = _____ = ___ =  -3/7
x2-x1    2-9          -7
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Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (-1,3) and (2,2), we get;

m_1=\frac{2-3}{2+1}

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<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

Substituting m_1=-\frac{1}{3}, we get;

m_2=-\frac{1}{-\frac{1}{3}}

simplifying, we get;

m_2=3

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<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting m=3 and the point (2,-1) in the above formula, we have;

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Hence, Option d is the correct answer.

3 0
3 years ago
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