Considering the definition of parallel line,the equation of parallel line to the line y=2/3x-5 and passes through the point (9,-4) is y= 2/3x -10.
A linear equation o line can be expressed in the form y = mx + b
where
Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.
Two lines are parallel if they have the same slope and different y-intercepts.
In this case, the line is y=2/3x-5
where:
Two lines are parallel if they have the same slope. So, the parallel line has a slope of 2/3 and this passes through the point (9, -4). Replacing in the expression y=mx + b:
-4= 2/3× 9 + b
-4= 6 + b
-4 -6 = b
-10 = b
Finally, the equation of parallel line is y= 2/3x -10.
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