a gradient of a line that is parallel and perpendicular to this line with this gradient of -2
Gradient is the slope
So slope of the line =-2
Slope of parallel line is equal to the slope of the line
So slope of parallel line = -2
Slope of perpendicular line is equal to negative reciprocal of slope of the line
We know slope of line = -2
Negative reciprocal =
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)
So , Slope of perpendicular line=
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)