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16 March, 02:34

Consider the equation, - 2x + 3y = 6. Identify the slope.

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  1. 16 March, 02:53
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    Answer: 2/3

    Step-by-step explanation: To identify the slope of this line, we first need to convert this equation to slope-intercept form.

    In slope-intercept or y = mx + b form, the y

    is by itself on the left side of the equation.

    So our first task in this problem is to get y by itself

    on the left side of the equation and we do that by

    first adding 2x to both sides to get 3y = 2x + 6.

    Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

    Continuing on, to get y by itself we would

    divide both sides by 3 to get y = 2/3x + 2.

    Now in y = mx + b form, the slope is coefficient of the x term.

    So we can see that the slope of this line is 2/3.
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