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stira [4]
3 years ago
14

What is the equation of the line?​

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

A line has an equation of a form,

y=ax+b

From a graph we can pick two points on the line, say A and B where,

A(x_1,y_2),B(x_2,y_2)\longrightarrow A(0,0),B(1,-1)

Using their coordinates we are able to calculate slope.

a=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-0}{1-0}=-1

Hence,

y=-1\cdot x+b

The x and y terms can be replaced with coordinates of one point either A or B. I'll pick A.

0=-1\cdot0+b

And now solve for b.

0=0+b\Longrightarrow b=0

Hence,

y=-1\cdot x+0

Simply,

\boxed{y=-x}

Hope this helps.

r3t40

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