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Write an equation that represents the line use exact numbers

Write an equation that represents the line use exact numbers-example-1

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Answer:

y = 2/3x +4/3

Explanation:

We need two points to find the slope

(1,2) is one point (4,4) is another point

m = (y2-y1)/(x2-x1)

m = (4-2)/(4-1)

= 2/3

The slope is 2/3

We can write the equation in point slope form

y-y1 = m(x-x1)

y-4 = (2/3) (x-4)

Distribute

y-4 = 2/3x - 8/3

Add 4 on each side

y-4+4= 2/3x - 8/3+4

y = 2/3x -8/3+12/3

y = 2/3x +4/3

User Xeolabs
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