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40 votes
What is the equation of the line that passes through the point (5,-5) and has a slope of -1/2

User Kostas Livieratos
by
3.1k points

1 Answer

11 votes
11 votes

Answer: y= -1/2x - 2.5

Explanation:

Slope: y= mx+ b

m being the slope

b being the y intercept

You're given the slope, so you substitute m for -1/2

y=mx+b

y = -1/2x + b

You have the coordinates (5, -5) which you can substitute (the line passes through that point.)

-5 = -1/2(5) + b

-5 = -2.5 + b

+2.5 +2.5

-2.5= b

y= -1/2x + 2.5

Check:

-5 = -1/2(5) - 2.5

-5 = -2.5 - 2.5

-5 = -5

User DouglasH
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2.6k points