Question

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

Answer 1

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)`