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Otrada [13]
3 years ago
10

Number 15-17 Please help!

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

17dawdadawdadadawdad

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What is the equation, in slope-intercept form, of the line
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<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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The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

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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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Thus, the equation of the perpendicular line is y=3x-7

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