Answer:
Equation which represents a line that has a slope of 1/3 and passes through the point (-2,1) is:
[tex]y=\dfrac{1}{3}x+\dfrac{5}{3}[/tex]
Step-by-step explanation:
Let the equation of line be y=mx+c
Where m is the slope and c is the y-intercept
⇒ m=1/3
and The line passes through (-2,1)
Putting it in equation
[tex]1=\dfrac{1}{3}\times -2+c\\ \\c=1+\dfrac{2}{3}\\ \\c=\dfrac{5}{3}[/tex]
Hence, equation which represents a line that has a slope of 1/3 and passes through the point (-2,1) is:
[tex]y=\dfrac{1}{3}x+\dfrac{5}{3}[/tex]
