Question

Determine the slope of the line based on the information:

Answer 1

The equation of a line in the slope-intercept form is:

`y=mx+b`

By comparison with the given line:

`y=3x`

We can see that m is 3. This value is the slope of the line.

A line perpendicular to it will have a slope:

`\begin{gathered} m^(\prime)=-(1)/(m) \\ m^(\prime)=-(1)/(3) \end{gathered}`

Thus, the slope of a line perpendicular to y = 3x is:

`-(1)/(3)`