Question

6. Write the equation of the line in slope-intercept form given the following:Point (-3, 1), slope-1/3

Answer 1

Let's use the point-slope formula to find the equation

`y-y_1=m(x-x_1)`

Replacing the point and the slope, we have.

`\begin{gathered} y-1=-(1)/(3)(x-(-3)) \\ y-1=-(1)/(3)x-1 \\ y=-(1)/(3)x-1+1 \\ y=-(1)/(3)x \end{gathered}`

Therefore, the equation is

`y=-(1)/(3)x`