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Anuta_ua [19.1K]
3 years ago
9

What is the equation of the line that passes through the point

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

3x-2y=2

Step-by-step explanation:

The equation of line having slope \frac{3}{2} and passing through (-4,-7).

The\ equation\ of\ line\ is\ given\ by\ y=mx+c\ where\ m\ is\ the\ slope\ of\ line.\\\\Here\ m=\frac{3}{2}\\\\Equation\ y=\frac{3}{2}x+c\\\\Line\ passes\ through\ (-4,-7),\ it\ will\ satisfy\ the\ equation\ of\ line.\\\\-7=\frac{3}{2}\times (-4)+c\\\\-7=-6+c\\\\c=-7+6\\\\c=-1\\\\y=\frac{3}{2}x-1\\\\2y=3x-2\\\\3x-2y=2

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Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

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Let the co-ordinates of point B be ( x , y )

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Now,

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⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

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Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

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Now, finding the value of y

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Do cross multiplication

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⇒y = 4 - 1

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Hope I helped!

Best regards!

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