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What is the z-intercept of the graph y=4x+3?

  1. 0

  2. 3

  3. 4

  4. Cannot be determined

The correct answer is: 3

The z-intercept of a graph is the point where the line crosses the z-axis, or where the x and y values are both equal to 0. In this equation, the y-intercept is represented by the number 3, since when x=0, y=3. The other options are incorrect because A) 0 is the x-intercept, C) 4 is not represented in the equation and therefore not a possible intercept, and D) it is possible to determine the z-intercept in this equation. Therefore, the answer is B) 3.