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.

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

Therefore, the equation is

$y=-\frac{1}{3}x$