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stepladder [879]
3 years ago
5

A line passes through point (5, –3) and is perpendicular to the equation y = x. What's the equation of the line?

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

y = -x +2

Step-by-step explanation:

y =x  has a slope of 1

Perpendicular lines have slopes that multiply to -1

m* 1 = -1

The slope of the perpendicular line is -1

We have a slope and a point

y = mx+b

y= -1x+b

Substitute the point into the equation

-3 = -1(5) +b

-3 =-5 +b

Add 5 to each side

-3+5 = b

2 =b

y = -x +2

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