Answered

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Determine the slope of the line based on the information:

Determine The Slope Of The Line Based On The Information class=

Sagot :

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

[tex]y=mx+b[/tex]

By comparison with the given line:

[tex]y=3x[/tex]

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

A line perpendicular to it will have a slope:

[tex]\begin{gathered} m^{\prime}=-\frac{1}{m} \\ m^{\prime}=-\frac{1}{3} \end{gathered}[/tex]

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

[tex]-\frac{1}{3}[/tex]

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