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Calculate the slope of the line:
Example: calculate the slope of the line whose equation is y = 2x + 3 and whose y-intercept is (0,3).
Solution:
y = mx + b
y = 2x + 3
m = 2
Example: Calculate the slope of the line whose equation is 2x + 3y = 6 and whose y-intercept is (0,2).
Solution: y = mx + b
2x + 3y = 6 Write in standard form.
3y = 6 - 2x
3y = -2x + 6
y = -2x + 6 /3
y = -2/3x + 2
m = -2/3
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
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