Math, asked by pjena860, 7 months ago

Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation​

Answers

Answered by ItxRohityadavx
3

this is the correct equation bro 3x+45y=73

Answered by pulakmath007
46

SOLUTION

TO DETERMINE

The equation of the Straight line passing through the points (-1, 1), (0, 0) and (1, -1)

EVALUATION

Let the equation of the straight line be

 \sf{}y = mx + c \:  \: ....(1)

Where m = slope of the line and c = y - intercept

Now the equation (1) passes through the point (0,0)

So

 \sf{}0 = 0 + c

 \implies \sf{}c = 0

So equation (1) reduces to

 \sf{}y = mx  \:  \: ....(2)

Again equation (2) passes through the point (-1,1)

So

 \sf{}1 = -  m \:  \:

 \implies \sf{}m =  - 1

So equation (2) reduces to

 \sf{}y =  - x

Which is the required equation of the line

GRAPH

The graph of the required line is attached

FINAL ANSWER

The equation of the Straight line passing through the points (-1, 1), (0, 0) and (1, -1)

 \sf{}y =  - x

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LEARN MORE FROM BRAINLY

Find the equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.

https://brainly.in/question/25257443

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