3 years ago

Help!!!!!! A S A P!!!!!!!!!!!!

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Order them from least to greatest

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kifflom [539]

Answer:

$\displaystyle y=\frac{2}{3}(x+5)+2$

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

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$\displaystyle y=-\frac{3}{2}x+4$

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The slopes of two perpendicular lines, say m1 and m2, meet the condition:

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$\displaystyle m_2=-\frac{1}{m_1}$

$\displaystyle m_2=-\frac{1}{-\frac{3}{2}}$

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Now we know the slope of the new line, we use the slope-point form of the line:

$y=m(x-h)+k$

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

$\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}$

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