What is the slope of the line: 6x + 3y = 8 Improved Answer:-
If: 6x+3y = 8
Then: 3y = -6x+8 and y = -2x+8/3
Therefore: slope is -2 and the y intercept is 8/3
Chat with our AI personalities
-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