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What is the y-intercept of the equation y = -23x + 6?

a) A
b) (6,0)
c) (0,6)
d) (-2,0)

1 Answer

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Final answer:

The y-intercept of the equation y = -23x + 6 is (0,6), as this is the point where the line crosses the y-axis when x is zero.

Step-by-step explanation:

The y-intercept of the equation y = -23x + 6 is found by identifying the value at which the line crosses the y-axis. This typically occurs when x is zero. Referring to the slope-intercept form of a linear equation, which is y = mx + b, the b represents the y-intercept and m represents the slope. Therefore, in the equation provided, the y-intercept is the constant term, which is 6. This means the line crosses the y-axis at the point (0, 6). Hence, the correct answer to the question 'What is the y-intercept of the equation y = -23x + 6?' is (c) (0,6).

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