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You have discovered another alien. Find the correct rescue path before answering this question.

Which statements are true about the equation of the line used to save this alien?
The y-intercept is not visible on the graph.
The slope does not exist for this line.
The y-intercept is positive.
The line crosses the x-axis at –3.

1 answer

To determine which statements are true about the equation of the line used to save the alien, we need to analyze the properties of the line.

  1. The y-intercept is not visible on the graph.

    • This statement could be true if the line does not intersect the y-axis within the visible range of the graph. If the y-intercept is outside the graph's viewport, then this statement would hold true.

  2. The slope does not exist for this line.

    • The slope of a line does not exist if the line is vertical. If the line is vertical, this statement is true. If the line is not vertical, this statement is false.

  3. The y-intercept is positive.

    • This statement is true only if the line crosses the y-axis above the origin. If the y-intercept (the point where the line crosses the y-axis) is below zero or at zero, this statement is false.

  4. The line crosses the x-axis at –3.

    • This statement can be assessed if we can see the graph or know the equation of the line. If the line crosses the x-axis at the point (-3, 0), then this statement is true. If not, it is false.

To determine which statements are true, you would need to look at the specific graph provided. However, based on typical scenarios:

  • If the line is vertical, the slope does not exist.
  • If the y-intercept is outside the graph or negative, the first and third statements can either be true or false.
  • Lastly, whether the line crosses the x-axis at -3 is specific to the line's position.

Please refer to the graph for more accurate conclusions about these statements.