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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
Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'
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