Find the scalar equation of the line through the point (1, -4) and perpendicular to the line 2x + 5y – 3 = 0.?

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answers:
Captain Matticus, LandPiratesInc say: First, describe a parallel line

2x + 5y + c = 0

Now, switch the coefficients for the variables

5x + 2y + c = 0

Now, change the sign for one of the variable

5x - 2y + c = 0

Now plug in values for x and y and solve for c

5 * 1 - 2 * (-4) + c = 0
5 + 8 + c = 0
13 + c = 0
c = -13

5x - 2y - 13 = 0

There you go.
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Como say: 5y = -- 2x + 3
y = (- 2/5) x + 3/5
m1 = - 2/5
m2 = 5/2

y + 4 = (5/2) (x - 1)
y = (5/2) x - 13/2
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mcotk say: jinrzqty
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