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What does the y-intercept (0, 27.42) represent in a mathematical equation or graph?

a) The value of x when y is equal to zero.
b) The value of y when x is equal to zero.
c) The slope of the line.
d) The maximum value of y.

What is the meaning of the y-intercept (0, 27.42) in the context of the problem?

a) It represents the maximum value of y.
b) It represents the value of x when y is equal to zero.
c) It represents the value of y when x is equal to zero.
d) It represents the slope of the line.

User Jkcl
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1 Answer

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Final answer:

The y-intercept, in this case (0, 27.42), signifies the value of y when x is zero and is where the line crosses the y-axis on the graph. It should not be confused with the slope or maximum value of y.

Step-by-step explanation:

The y-intercept of a mathematical equation represents the value of y when x equals zero. Specifically, in the equation of a straight line given by y = mx + b, the b represents the y-intercept, which is the point where the line crosses the y-axis. Referring to the y-intercept (0, 27.42), it indicates that when x is 0, the value of y is 27.42. This point is where the plot line begins on the y-axis in a graph.

The correct interpretation of the y-intercept (0, 27.42) in a mathematical context is that it represents the value of y when x is equal to zero. It is not the slope, the maximum value of y, or the value of y when x equals zero. The slope, represented by the letter 'm' in the equation, describes the rate of change in y for each one-unit increase in the independent variable x.

User James Sulak
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