Perpendicular would mean that the slope of both lines have to be the same. The slope of the given line is 2, so the equation of the other line is of the form
y=2x+c
with c some constant.
Since it is given that the intercept of the second line is -2, we know that
-2 = 0.x + c
which gives us
c = -2
Using this, we can see that the equation of the perpendicular line is
y=2x-2
-5
If you mean: y = -2x -2 and point of (2, 3)Then perpendicular equation is: y-3 =1/2(x-2) => 2y = x+4
Answer: y = -2/5x-14/5 which also can be written as 5y = -2x-14 or in the general form of the equation of a straight line as 2x+5y+14 = 0
Slope: -2 Equation: y--1 = -2(x-3) => y = -2x+5
2x-y -5 = 0 => y = 2x -5 The perpendicular slope is the negative reciprocal of 2 which is -1/2 So using the formula of y -y1 = m(x -x1) gives the straight line equation:- y - -2 = -1/2(x -4) y +2 = -1/2x +2 y = -1/2x +2 -2 y = -1/2x which can be expressed in the form of: x +2y = 0 So the straight line equation is: x +2y = 0
As for example the perpendicular equation to line y = 2x+6 could be y = -1/2x+6 because the negative reciprocal of 2x is -1/2x
If you mean y = 2x+5 then the perpendicular slope is -1/2
5
If you mean line of 3x+2y = 5 then y = -3/2x+2.5 Perpendicular slope: 2/3 Perpendicular equation: 3y = 2x+18 or as 2x-3y+18 = 0
Known equation: 5x -2y = 3 or y = 5/2x -3/2 Slope of equation: 5/2 Slope of perpendicular equation: -2/5 Perpendicular equation: y --4 = -2/5(x -3) => 5y = -2x -14 Perpendicular equation in its general form: 2x+5y+14 = 0
It is: -1/2
-5
Known equation: 5x -2y=3 => y=5/2x -1.5 Slope of equation: 5/2 Perpendicular slope: -2/5 Perpendicular equation: y--4=-2/5(x-3) => 5y--20=-2x+6 => 5y=-2x-14 Therefore the perpendicular in its general form is: 2x+5y+14 = 0
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 )
It is -1/2
6
Perpendicular slope: -2/5 Perpendicular equation: y--4 = -2/5(x-3) => 5y--20 = -2x-3 => 5y = -2x-14 Perpendicular equation in its general form: 2x+5y+14 = 0