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Answer:
Explanation:
If Lines G and H are perpendicular to each other then the slope of one must be negative reciprocals of the slope of the other.
In other words,
The slope of line H = -1 / slope of line G.
Now, what is the slope of line G?
To find out, we first have to write the line in slope-intercept form ( y = mx + b).
Now, subtracting 3x from both sides of the equation gives
[tex]3x+2y-3x=10-3x[/tex][tex]2y=10-3x[/tex]dividing both sides by 2 gives
[tex]y=\frac{10-3x}{2}[/tex][tex]y=5-\frac{3}{2}x[/tex]This tells us that the slope of line G is -3/2 x.