Question

Find the slope of a line perpendicular to the line with the equation: 2x-2y=20

Answer 1

-1

Step-by-step explanation:

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

`\begin{gathered} y=mx+b \\ m=\text{slope} \end{gathered}`

Given the line:

`\begin{gathered} 2x-2y=20 \\ 2(x-y)=20 \\ x-y=10 \\ y=x-10 \end{gathered}`

The slope of the given line, m=1

Two lines are perpendicular if the product of their slopes is -1.

Let the slope of the line perpendicular the equation = n.

`\begin{gathered} n* m=-1 \\ n*1=-1 \\ n=-1 \end{gathered}`

The slope of a line perpendicular to the equation is -1.