-2 or written as a slope - 2/1
2y = 6x - 8y = 3x - 4========m(slope) = 3=========
6X + 5Y = 8 subtract 6X from both sides 5Y = -6X + 8 divide both sides by 5 Y = -6/5X+ 8/5 now you have a line of slope -6/5 that intersects the Y axis at 8/5. (Solve for X to get X intercept)
This question would be much easier if we simplified the equation first: 2y = -6x + 8 (divide both sides by two) y = -3x + 4 Now, the slope of this line is obviously -3. All you have to do to find the slope of a line perpendicular to the slope of another line is take its opposite reciprocal. "Opposite" means reverse the sign. "Reciprocal" means flip the fraction. In this case, the perpendicular slope of -3 (or -3/1) is 1/3. This is because 3 is the opposite of -3, and 1/3 is the reciprocal of 3.
To get the slope and y intercept, the equation is wriiten in standard form y = mx + b wher m is slope and b is y intercept Thus 9x -3y + 8 = 0 add 3y to both sides: 9x + 8 = 3y Divide both sides by 3: 3x + 8/3 = y so thus y = 3x + 8/3 m = slope = 3 b = y intercept = 8/3
6x+3y = 8 3y = -6x+8 y = -3x+8/3 The slope of the line is -3
-2 or written as a slope - 2/1
First you need to solve for y like this: 6x+3y=8 3y=-6x+8 y=-2x+8/3 Once you have the equation solved for y, the coefficient of x equals the slope: slope = -2
The slope is -2
y = -2x - 8
14
8x + 3y = 248x - 8x + 3y = -8x + 243y = - 8x + 243y/3 = (- 8x + 24)/3y = -8x/3 + 24/3y = (-8/3)x + 8 this is the slope-intercept form of the equation of the line, y = mx + b, where the slope m is -8/3 and the y-intercept b is 8.
-5/3
*3y=6x-8 btw
If you mean: 2x-3y = 8 then y = 2/3x-8/3 and the perpendicular slope is -3/2
Points: (8, 8) and (1, 2) Slope: (8-2)/(8-1) = 6/7 Equation: y-8 = 6/7(x-8) => 7y-56 = 6x-48 => 7y = 6x-48+56 Slope intercept form: 7y = 6x+8
4x = -3y+8 3y = -4x+8 y = -4/3x+8/3 So the slope is -4/3 or -1 and a 1/3