4/3
First, get this into slope-intercept form (get y by itself).
3x+4y=12 -> Move 3x to the right by subtracting from both sides.
-3x -3x
4y=12-3x -> get y alone by dividing everything by 4.
4y=-3x+12
÷4 ÷4 ÷4
y=(-3/4)x+3 -> The slope is -3/4.
To get the perpendicular line's slope you take the slope (-3/4) and flip it and switch the sign: negative becomes positive, 3/4 becomes 4/3.
12
5
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
Perpendicular equation: 4x +3y -5 = 0 Perpendicular slope: -4/3 Slope of line: 3/4 Point of line: (-2, -3) Equation of line: y - -3=3/4(x - -2) => 4y - -12=3x - -6 => 4y = 3x -6 Therefore the equation of the line is: 4y = 3x -6 or 3x -4y -6 = 0
The slope of the perpendicular is -(1/2) .
The slope is -0.2
-1/5
6
12
The slope is -4
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 )
There is no "equals" sign therefore "x-9" is NOT an equation.
y - 3x = 8 standard form is y = mx + b m = slope y = 3x + 8 in this form slope m is 3 The perpendicular line slope is the negative inverse of m -1/m = -1/3
y = x
There is no y-intercept or slope for this given equation, because its graph is a vertical line perpendicular to the x-axis.
the slope will be positive 1.5x the whole equation is y=4.5+1.5x
No because the slope of the second equation is 1/4 and for it to be perpendicular to the first equation it should be 1/3