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slava [35]
3 years ago
14

What is the equation of a line that is perpendicular to -x+2y=4 and passes through the point (-2,1)?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0
-x + 2y = 4
2y = x + 4
y = 1/2x + 2.....slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -2 (see how I flipped the slope and changed the sign)

y = mx + b
slope(m) = -2
(-2,1)...x = -2 and y = 1
now we sub and solve for b, the y int
1 = -2(-2) + b
1 = 4 + b
1 - 4 = b
-3 = b

so ur perpendicular line is : y = -2x - 3
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b) The recurrence for the coefficients c_k is

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\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

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