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Which of the following is the equation of a line that passes through (-2,1) and (-4,-3)?

User Sgy
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X(-2,1) and
(-4,-3) are defined therefore we have all data we need to construct equation.

Linear function has a form of,


y=ax+b

First calculate the slope a.


a=(dy)/(dx)=(-3-1)/(-4-1)=(-4)/(-5)=(4)/(5)

Now plug in the coordinates of either one of the points into the linear function. I'll pick point X.


y=ax+b\Longrightarrow1=(4)/(5)\cdot(-2)+b

Now just solve for b.


1=-(8)/(5)+b\Longrightarrow b=(13)/(5)

The equation is therefore,


\boxed{y=(4)/(5)x+(13)/(5)}

Hope this helps.

r3t40

User Dmitri Safine
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