Question

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points)

Answer 1

This equation is in point-slope form, where it is written as:

\[y-y _{1}=m(x-x _{1})\]
\[y−3 = − 2 (x − 4)\]

m = slope

Looking at this, we can see that the slope is -2.

To find the slope of the line that is perpendicular to this equation, we need to find the opposite reciprocal.

The opposite of -2 is 2.

Finding the reciprocal is simple:

\[\frac{ a }{ b }\rightarrow \frac{ b }{ a }\]
\[\frac{ 2 }{ 1 }\rightarrow \frac{ 1 }{ 2 }\]

This means the reciprocal of 2 is 1/2.

`Therefore, the slope of the line perpendicular to line CD is 1/2`

Answer 2

Thank you!!