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vova2212 [387]
2 years ago
8

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

Mathematics
1 answer:
fiasKO [112]2 years ago
8 0

Answer:

y = 3x

Step-by-step explanation:

Slope equation:

y2 - y1

--------

x2 - x1

----------------------------------------------------------------------------------------------------------------

         6 - 0          6

m = ----------- =   ----- = 3

         2 - 0           2

Your slope is 3.

----------------------------------------------------------------------------------------------------------------

Equation:

y = mx + b

Plug in the slope and you get:

y = 3x + b

----------------------------------------------------------------------------------------------------------------

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

<u>(0,0)</u>                                                                     <u>(2,6)</u>

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

----------------------------------------------------------------------------------------------------------------

Your answer: y = 3x

Hope this helped :)

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