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Given: 2x + 3y= 6. What is the y-intercept?

a)no intercept
b)(0, 2)
c) (0, 3)
d)(2.0)

1 Answer

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Final answer:

The y-intercept of the equation 2x + 3y = 6 is the point where x is 0 and y is 2, which is represented as (0, 2).

Step-by-step explanation:

To find the y-intercept of the linear equation 2x + 3y = 6, we need to determine the value of y when x is equal to zero. Substituting 0 for x in the equation gives us 2(0) + 3y = 6, which simplifies to 3y = 6. To solve for y, we divide both sides of the equation by 3, yielding y = 2. Thus, the y-intercept is the point where x is 0 and y is 2, making (0, 2) the y-intercept of the equation.

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