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How to write the appropriate Linear equation?

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i am having trouble writing the linear equation when im given the point- slope (-5,8) with m= -4
please help me !!
asked Oct 28, 2013 in ALGEBRA 1 by abstain12 Apprentice

1 Answer

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The point A(x1,y1) and the slope m the linear equation is y-y1=m(x-x1)

The given point is (-5,8) and slope m = -4

The point slope form line equation is  

y-y1=m(x-x1)

y-8 = -4(x-(-5))

y-8 = -4(x+5)

y-8 = -4x-20

Add 8 to each side

y-8+8 = -4x-20+8

y = -4x-12

Subtract y from each side

y-y = -4x-12-y

0 = -4x-y-12

Multiply   each side by negative one

-(0) = -(-4x-y-12)

4x+y+12 = 0

The linear equation is 4x+y+12 = 0.

answered Oct 28, 2013 by casacop Expert

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