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The straight line L has equation 3x – 2y = 15
Find an equation of the line that is parallel to L and crosses the x–axis at (–2, 0)

Respuesta :

rearrange the equation of L:
3x-15=2y
y= 3/2x-15/2
Slope is 3/2
Using point intercept form
y-0=3/2(x-(-2))
y=3/2x+3
bdilsai06

Answer:

[tex]3x - 2y = 15 \\ 3x - 2y - 15 = 0 \\ substitue \: the \: coordinates \: - 2 \: 0 \\ 3 ( - 2) - 2(0) + k = 0 \\ - 6 - 0 + k = 0 \\ k = 6 \\ equation \: of \: the \: line \: parallel \: is \: 3x - 2y + 6 = 0 [/tex]

Step-by-step explanation:

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