Respuesta :

if one line is perpendicular that has a slope of 1/2 then the other line is -2


Answer:

Line having the slope = -2

Step-by-step explanation:

If a line is given with the slope [tex]m_{1}=\frac{1}{2}[/tex] then we have to find a line which is perpendicular to this line.

Let the slope of other line is [tex]m_{2}[/tex] and this line is perpendicular to the first line.

Then [tex]m_{1}. m_{2}=-1[/tex]

So [tex](\frac{1}{2}).(m_{2})=-1[/tex]

[tex]m_{2}=-2[/tex]

So the line which has slope = -2 will be perpendicular to the line having slope = [tex]\frac{1}{2}[/tex]