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Which equation represents a line that has a slope of 1/3 and passes through point (-2, 1)? O y=1/3x-1 Oy=1/3x+5/3 O y=1/3 x-5/3 O y=3x+1

User JCollerton
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1 Answer

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Step-by-step explanation:

The equation of a line in the slope-intercept form is:


y=mx+b

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

We have that the line has a slope of 1/3:


y=(1)/(3)x+b

To find the y-intercept b we have to use the point. Replace x = -2 and y=1 and solve for b:


\begin{gathered} 1=(1)/(3)(-2)+b \\ 1=-(2)/(3)+b \\ b=1+(2)/(3)=(5)/(3) \end{gathered}

Answer:

The equation is:


y=(1)/(3)x+(5)/(3)

User ForceBru
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