Respuesta :

Answer: y=3/2x

Step-by-step explanation: use the (y2-y1)/x2-x1 formula to find the slope. (0-9)/(0-6) equals -9/-6 which is 3/2. Slope = 3/2. Plug in (0,0) to find b. 0=3/2(0)+b. B=0.

The equation of the line passing through  (6,9) and (0,0) is y = 3 / 2 x

The equation of a line can be represented as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

m = 0 - 9 / 0 - 6 = -9 / -6 = 3 / 2

y = 3 / 2x + b

using (0, 0) let's find b

0 = 3 / 2(0) + b

b = 0

Therefore, the equation can be represented as follows:

  • y = 3 / 2x

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