Q: What is the slope of the line 9x - 3y equals 10?

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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

Related questions

7

y equals 3x has the greater slope.

-2 or written as a slope - 2/1

6x + 3y = -9 So 3y = -6x - 9 or y = -2x - 3 So the slope of the given line is -2 Therefore, the slope a any parallel line is also -2.

x-3y = 9 -3y = -x+9 y = 1/3x -3 Perpendicular slope = -3

The slope of the graph of that equation is -1.

- 2/3

2/3

If: -4x+3y = 1 Then: 3y = 4x+1 And: y = 4/3x+1/3 which is now in slope-intercept form

6x+3y = -9 3y = -6x-9 y = -2x-3 Therefore the perpendicular slope is 1/2

The slope of 10=3y+24 is 0, because we would rewrite this equation:10=3y+2410-3y=24 (subtract 3y from each side)-3y=-10+24 (subtract 10 from each side)-3y=14 (combine like terms)y=-4 2/3 (divide each side by -3)this shows that you have no slope, as you have no 'x' value, the slope is 0.

2/3.