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Katarina [22]
2 years ago
9

Perpendicular to the line x - 5y = 9; containing the point (2, 4)

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

y=-5x+14

Step-by-step explanation:

x-5y=9

x-9=5y

y=\frac{1}{5}x-\frac{9}{5}

The slope for this line is: 1/5

The product of the slopes of any two perpendicular lines equals -1.

So the slope for the perpendicular line will be -5.

The point-slope formula=

Given slope m and a point on the line: (X, Y), the equation of the line will be:

y-Y=m(x-X)

So the equation for the perpendicular should be:

y-4=(-5)(x-2)

Simplify:

y-4=-5x+10

y=-5x+14

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