So - first you gotta put it in the y = mx + b form.
4Y = 3X +8
=> y = 4/3X + 1/2
A parallel line has the same slope. So if 3X - 4Y + 8=0 has a slope of 4/3 then the value of K must also be 4/3
Answer:
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Transpose the equation:
8x+6y=30
First minus 8x from each side of the equation.
6y=30-8x
Then divide each side by 6.
y=5-1.33x or if you want the answer in exact form:
y=5-4/3x
The slope is 4/3 or 1.333.
Look at the picture......