First, convert the equation to Slope-Intercept Form (y = mx + b) m = slope
b = y-intercept
3x - 4y = 8
Subtract 3x from both sides of the equation.
-4y = -3x + 8
Divide the entire equation by -4.
y = 3/4x -2
Now that we know that the slope is 3/4, we can convert it to its perpendicular slope. The perpendicular slope is the opposite reciprocal of the original slope. In order to find it, we flip the fraction and change the sign.
Original Slope: 3/4
Perpendicular Slope: -4/3
3x - 4y = 10-3x - 4y = 8 -> add line 1 to line 2 3x - 4y = 100x - 8y = 18 -> -8y = 18 -> y = -18/8 = -9/4 -> 3x - 4*(-9/4) = 10 -> 3x + 9 = 10 -> 3x = 1 -> x = 1/3
It is:- 3x+4y = 8 4y = -3x+8 y = -0.75x+2 So the slope is -0.75 and the y intercept is 2
(8, 2)
Sensible but hard to explain
3x+4y = 8 4y = -3x+8 y = -3/4x+2 in slope intercrpt form It has a negative slope so the straight line goes 'downhill'
3x - 4y = 10-3x - 4y = 8 -> add line 1 to line 2 3x - 4y = 100x - 8y = 18 -> -8y = 18 -> y = -18/8 = -9/4 -> 3x - 4*(-9/4) = 10 -> 3x + 9 = 10 -> 3x = 1 -> x = 1/3
3x - 4y = 8Solve for x:3x = 4y + 8x = 4/3y + 8/3Solve for y:-4y = -3x + 8y = 3/4x - 2
It is:- 3x+4y = 8 4y = -3x+8 y = -0.75x+2 So the slope is -0.75 and the y intercept is 2
3x-4y = 8 -4y = -3x+8 y = 3/4x-2 or y = 0.75x-2 which is the equivalent in slope intercept form
(8, 2)
Sensible but hard to explain
3x+4y = 8 4y = -3x+8 y = -3/4x+2 in slope intercrpt form It has a negative slope so the straight line goes 'downhill'
x = 4 and y = 0
3x - 4y = 8Solve for x:3x = 4y + 8x = 4/3y + 8/3Solve for y:-4y = -3x + 8y = 3/4x - 2
Multiply the first equation by -3
Straight line equations:- And if: 3x-4y = 8 Then: y = 0.75x-2 whereas 0.75 or 3/4 is the slope and -2 is the y intercept
x = -4y so 3x = -12y Substituting in the second equation, -12y + 2y = 20 or -10y = 20 ie y = -2 And then x = -4y implies that x = 8 Solution: x = 8, y = -2