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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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The perimeter of a triangle is 140 cm the length of the second side is twice the length of the first side the length of the thir
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MrRissso [65]

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From the figure attached,

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Amount of fencing required = Perimeter of the triangular garden

Perimeter of the garden = AB + BC + AC

Formula to get the distance between A and B,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB = \sqrt{(0-6)^2+(6-5)^2} = \sqrt{37}

BC = \sqrt{(6-5)^2+(5+1)^2} = \sqrt{37}

AC = \sqrt{(0-5)^2+(6+1)^2} = \sqrt{74}

Perimeter = \sqrt{37}+\sqrt{37}+\sqrt{74}

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