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Given the point and slope write the equation of the line (9, -4); slope = -2/3

User Anurag Soni
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1 Answer

23 votes
23 votes

Given the point and the slope of the line:

Slope = -2/3

Point = ( 9 , -4 )

the general equation of the line in slope - intercept form is ;


y=m\cdot x+b

Where : m is the slope and b is y - intercept

m = -2/3

so, the equation will be:


y=(-2)/(3)x+b

We will find b using the point ( 9 , -4)

When x = 9 , y = -4

so,


\begin{gathered} -4=(-2)/(3)\cdot9+b \\ \\ -4=-6+b \\ b=-4+6=2 \end{gathered}

So, the equation of the line is:


y=(-2)/(3)x+2

User Jeff Treuting
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