Question

Which equation represents a line that has a slope of 1/3 and passes through the point (-2,1)

Answer 1

Equation which represents a line that has a slope of 1/3 and passes through the point (-2,1) is:

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

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

`1=(1)/(3)* -2+c\\ \\c=1+(2)/(3)\\ \\c=(5)/(3)`

Hence, equation which represents a line that has a slope of 1/3 and passes through the point (-2,1) is:

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