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