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The line represented by the equation 3.4 y=0 is graphed in the xy-plane. Which of the following statements correctly describes the graph of the line? Choose 1 answer: A The line has a negative y intercept. (B) The line goes through the point (0,3.4). (c) The line has a positive slope. (D) The line is perpendicular to the y-axis.

The line represented by the equation 3.4y=0 3.4 y=0 is graphed in the xy x y -plane. Which of the following statements correctly describes the graph of the line?\newlineChoose 11 answer:\newline(A) The line has a negative y y intercept.\newline(B) The line goes through the point (0,3.4) (0,3.4) .\newline(C) The line has a positive slope.\newline(D) The line is perpendicular to the y y -axis.

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Q. The line represented by the equation 3.4y=0 3.4 y=0 is graphed in the xy x y -plane. Which of the following statements correctly describes the graph of the line?\newlineChoose 11 answer:\newline(A) The line has a negative y y intercept.\newline(B) The line goes through the point (0,3.4) (0,3.4) .\newline(C) The line has a positive slope.\newline(D) The line is perpendicular to the y y -axis.
  1. Isolate y in equation: The equation given is 3.4y=03.4y = 0. To understand the graph of this line, we need to isolate y by dividing both sides of the equation by 3.43.4.\newlineCalculation: 3.4y3.4=03.4\frac{3.4y}{3.4} = \frac{0}{3.4}\newliney = 00
  2. Horizontal line representation: The equation y=0y = 0 represents a horizontal line in the xyxy-plane. This line crosses the yy-axis at the point (0,0)(0,0).
  3. Slope of horizontal line: Since the line is horizontal, it does not have a positive or negative slope. The slope of a horizontal line is 00.
  4. Y-intercept at origin: The line y=0y = 0 does not have a yy-intercept that is positive or negative; it is exactly at the origin, which is the point (0,0)(0,0).
  5. Does not go through (0,3.4)(0,3.4): The line y=0y = 0 does not go through the point (0,3.4)(0,3.4) because it only goes through points where the yy-coordinate is 00.
  6. Perpendicular to y-axis: The line y=0y = 0 is perpendicular to the y-axis because it is a horizontal line, and the y-axis is a vertical line. Lines that are horizontal are perpendicular to lines that are vertical.

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