Question 624032: write the equation of the line passing through (4,8) and parallel to 4x-5y=10
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! write the equation of the line passing through (4,8) and parallel to 4x-5y=10
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First, put the equation in standard form: 5y = 4x - 10 -> y = (4/5)x - 2
The slope of the line = 4/5
Since parallel lines have the same slope, the line has the form y = (4/5)x + b
Use the point (4,8) to solve for b:
8 = (4/5)4 + b
This gives b = 24/5
So the equation is y = (4/5)x + 24/5
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