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astra-53 [7]
3 years ago
14

Write an equation for the line perpendicular to y=2x 4 that contains (3, -2)?

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0
In the equation y = 2x + 4, you know that the gradient is 2 (the number before x).


for a perpendicular line you need the negative reciprocal of 2, which is - \frac{1}{2} .

you then need to use the equation
y - y_{1} = m(x - x_{1} )

substitute in your coordinates:

y - -2 = - \frac{1}{2} (x - 3)


simplify:
y + 2 = -0.5x + 1.5

rearrange:

y = - \frac{1}{2} x - \frac{1}{2}

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