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Aleksandr [31]
3 years ago
8

Need help with this question brainliest for correct answer

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

\huge\boxed{y=\dfrac{4}{3}x-1}

Step-by-step explanation:

Let

k:y=m_1x+b_1\\l:y=m_2x+b_2

then

k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2

==========================================

We have:

y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}

Let

y=m_2x+b_2

Therefore

m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2

Substitute

(0,\ -1)\to x=0;\ y=-1

-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1

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Answer:

y = -3x - 2

Step-by-step explanation:

Equation of a line passing through (x_1,y_1) and slope m is,

y-y_1=m(x-x_1)

Slope of a line passing through (x_1,y_1) and (x_2,y_2) is,

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

Slope of the line passing through (0, -2) and (1, -5) will be,

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Therefore, equation of the line passing through (0, -2) and slope = -3 will be,

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Answer:

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Step-by-step explanation:

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3 years ago
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