Question

A graph of a linear function has a slope of -1/3 and contains the point (0,2). Which of these represents the equation of this function?

Answer 1

Given data:

The given slope of the line is m=-1/3.

The given point is (a, b)=(0,2).

The given equation of the line in poin slope form is,

$y-b=m(x-a)_{}$

Substitute the given values in the above expression.

$\begin{gathered} y-2=-\frac{1}{3}(x-0)_{} \\ 3y-6=-x \\ x+3y=6 \end{gathered}$

Thus, the equation of the line is x+3y=6.