Math, asked by eat3baby92, 5 months ago

HELP PLEASE?!
What is the equation of line B?

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Answered by Quadir07
6

The two points from which line B passes are →

☉ (6,-2)

☉ (-3,1)

[Note : You may also take other points from which line B passes but those points should be accurate.]

Now ,

The line B passes through the points (6, -2) and (-3,1)

So, first of all we need to find the slope of the line B.

The formula for finding the slope of a line is as follows :-

   \implies \: \frac{y2 \:  -  \: y1}{x2 \:  -  \: x1}  \\

Here ,

y2 = 1 \\ y1 =  - 2 \\ x2 =  - 3 \\ x1 = 6

Now , substituting the values in the equation we get,

 \implies \:  \frac{1 - ( - 2)}{ - 3 - 6}  \\  \\  \implies \:  \frac{1 + 2}{ - 9}  \\  \\  \implies \:  \frac{3}{ - 9}  \\  \\  \implies   - \frac { 1}{3}

So the slope of the given line is -⅓

Therefore the equation of the line passing through the point (6,-2) with slope = -1/3 is as follows :—

y - y1 = m ( x - x1 )

y - (-2) = -1/3 (x - 6)

3(y+2) = 6-x

3y + 6 = 6 - x

3y + x = 0

Hence the required equation of the line B is 3y + x =0

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Answered by prishalahe
0

Answer:

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