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Mnenie [13.5K]
3 years ago
15

Through: (4,-1), perpendicular to y=x+2

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer:

y = - x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x + 2 ← is in slope- intercept form

with slope m = 1

Given a line with slope m then the slope of a perpendicular line is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{1} = - 1, hence

y = - x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 1) into the partial equation

- 1 = - 4 + c ⇒ c = - 1 + 4 = 3

y = - x + 3 ← equation of perpendicular line

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Option (a)

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Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

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