Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)
1 answer:
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Answer:
y =
Step-by-step explanation:
Substitute x = - 2 into the equation and solve for y
3(- 2) + 5y = 8, that is
- 6 + 5y = 8 ( add 6 to both sides )
5y = 14 ( divide both sides by 5 )
y =
Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4
