In the equation y = mx + b, m is the slope. To convert 9x - 3y = 10 to y = mx + b:
9x - 3y = 10
Subtract 9x from both sides:
-3y = -9x +10
Divide both sides by -3:
y = 3x - 10/3
The slope of this line is 3.
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x-3y = 9 -3y = -x+9 y = 1/3x -3 Perpendicular slope = -3
What is the slope of the line defined by the equation shown below? 5x + 2y = 10 Group of answer choices 2/5 5/2 -2/5 -5/2
start with 2x - 3y = 5 add 3y to each side, 2x - 3y + 3y = 5 + 3y :: 2x = 5 + 3y subtract 5 from each side, 2x - 5 = 5 - 5 + 3y :: 2x - 5 = 3y divide each side by 3, (2x - 5)/3 = (3y)/3 :: (2/3)x - (5/3) = y the slope is the coefficient of "x" when the equation takes the form y = mx +b Therefore, the slope of the line is 2/3, approximately 0.667
The equation is (y - 1) = 2/3*(x - 5) That can be simplified to 3y - 3 = 2x - 10 or 3y = 2x - 7
-2X -3Y = 9 -3Y = 2X + 9 3Y = -2X -9 Y = -2/3X -3 This is standard form Y = mX + b where m = slope and b = y intercept since m = -2/3 any line with that slope is parallel. Y = -2/3X + b where b = ANY NUMBER