Respuesta :

The equation passing through the point ()8, 2 and parallel to 6x - 9y = -7 is y = 6 / 7x - 2 / 7

How to find equation of a line?

The equation of the line passes through the point (8, 2) and it is parallel to 6x  - 7y = -7.

The equation of a line can be represented as follows;

y = mx + b

where

m = slope

b = y-intercept

Therefore, parallel line have the same slope.

6x  - 7y = -7

7y = 6x + 7

y = 6 / 7 x + 1

m = 6 / 7

Hence, using (8, 2)

2 = 6 / 7 (8) + b

2 = 16 / 7 + b

b = 2 - 16 / 7

b =  14 - 16/ 7

b = - 2 / 7

Hence, the equation is y = 6 / 7x - 2 / 7

learn more on equation here: brainly.com/question/5633515

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