Question

Write an equation of the line that passes through (0 0) and (2 6)

Answer 1

y = 3x

Explanation:

Slope equation:

y2 - y1

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x2 - x1

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6 - 0 6

m = ----------- = ----- = 3

2 - 0 2

Your slope is 3.

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Equation:

y = mx + b

Plug in the slope and you get:

y = 3x + b

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Now to find b, you can use either coordinate point. So I will show you both ways :)

(0,0) (2,6)

0 = 3(0) + b 6 = 3(2) + b

Multiply 0 and 3 Multiply 2 and 3

0 = 0 + b 6 = 6 + b

Subtract 0 to 0 Subtract 6 from 6

0 = b 0 = b

There is no y-intercept

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Your answer: y = 3x

Hope this helped :)