Question

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Answer 1

Verified answer

Jawaban:

C. 2y + 3x + 1 = 0

Penjelasan dengan langkah-langkah:

4. m = has a gradient perpendicular to line n

coordinates n ( 0 , 2 ) & ( -3 , 0 )

then

[tex]\rm m_n[/tex] = (0-2)/-3-0 = 2/3

.

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gradient definitiont ( perpendicular )

[tex]\boxed{\rm m_1\times m_2=-1}[/tex]

then [tex]\rm m_m \:is[/tex]

[tex]\begin{aligned}\rm m_m&=\rm-1\div\frac{2}{3}\\&=\rm \frac{-3}{2}\end{aligned}[/tex]

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then the equation of the straight line m is

y - y1 = m(x-x1)

y -(-2) = -3/2(x-1)

y + 2 = -3/2x + 3/2

y + 3/2x + 2 -3/2 = 0

y + 3/2x + 1/2 = 0 .....( Times 2)

2y + 3x + 1 = 0