Q: What is the coefficient of y in the equation 2x plus 3y?

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-2x plus 3y equals 1

2x + 3y = 5 So 3y = -2x + 5 or y = -2/3x + 5 Now that the equation is in standard form, you just read the slope off as the coefficient of x, ie slope = -2/3

Yes.

If you solve such an equation for "y", you get an equation in the slope-intercept form.

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

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-2x plus 3y equals 1

2x + 3y = 5 So 3y = -2x + 5 or y = -2/3x + 5 Now that the equation is in standard form, you just read the slope off as the coefficient of x, ie slope = -2/3

Actually, 2x + 3y + z is an expression, because it is a mathematical noun.

2x+3y=40-2x+2y=20Since 2x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2x from both sides.3y=-2xDivide each term in the equation by 3.(3y)/(3)=-(2x)/(3)Simplify the left-hand side of the equation by canceling the common terms.y=-(2x)/(3)if you were solving for x It would be x=-(3y)/2

Yes.

If you solve such an equation for "y", you get an equation in the slope-intercept form.

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

It is one linear equation in two unknown variables.

6x + 3y + 6y - 2x = (6x - 2x) + (3y + 6y) = 4x + 9y

2x-11

A line with equation y = mx + c has slope m (and intercept c), thus convert the given equation into this form: 2x + 3y = 18 ⇒ 3y = -2x + 18 ⇒ y = -2/3x + 6 ⇒ slope is -2/3.

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