The slope of the perpendicular is -(1/2) .
12
Solve the line equation for "y", to get it in slope-intercept form. You can immediately read the slope from this equation.Divide -1 by (slope of this first line) to get the slope of the second line - the one perpendicular to the given line. Write an equation for any line with this slope.
If the line has a slope of 2, then the perpendicular line has a slope of -1/2. The slope of a perpendicular line is the negative reciprocal. Another example would be if the slope of a line is -1/4, then the slope of the perpendicular is 4.
If: y = 2/5x+10 then the perpendicular slope is -5/2x or -2.5x
-- The slope of the graph of [ 4x + y = 2 ] is -4.-- The slopes of perpendicular lines are negative reciprocals.-- The slope of any line perpendicular to [ 4x + y = 2 ] is 1/4 .
6
Gradient of given line is 2.1/5 = 21/50 So gradient (slope) of perpendicular is -50/21 = -2.381 (to 3 dp)
Slope of the given line is 3/7 So slope of perpendicular line is -7/3
Slope of given line = -3 Therefore, slope of perpendicular = 1/3
The slope of the perpendicular is -(1/2) .
Slope of a line perpendicular to x-y=16
There is no y-intercept or slope for this given equation, because its graph is a vertical line perpendicular to the x-axis.
Slope of given line = 3 So slope of perpendicular = -1/3
For the line 2x + y = 8 , the slope equals ( -2 ) so the required slope of the line which is perpendicular to it is equal to (+1/2 )
The line x = -4 is vertical, so a line that is perpendicular to it is horizontal, so its slope is 0.
4x+5y = 7 5y = -4x+7 y = -4/5x+7/5 in slope intercept form So the slope of the perpendicular line is plus 5/4