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Question:
find the slop and y-intercept of the line 5x-8y=-2
Answer:

Given line is:

5x -8y = -2

=> -8y = -2 - 5x

=> 8y = 5x + 2

=> y = 5x/8 + 2/8

=> y = 5x/8 + 1/4

So, slope of the line = 5/8

For y intercept, x = 0

So, y = 1/4

So, y intercept = (0, 1/4)

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