Cfs7769
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A line is parallel to the x-axis and passes through the point (-5,4)
What is the equation of that line, the slope of that line, and what would be the slope of a line perpendicular to that given line?

Respuesta :

sqdancefan

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Answer:

  • y = 4
  • slope: 0
  • slope of perpendicular: undefined

Step-by-step explanation:

The x-axis is a horizontal line. As such, it has a slope of zero. The equation of a horizontal line is ...

  y = constant

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For the line through (-5, 4), the constant must match the y-coordinate: 4. The equation is ...

  y = 4

As we said above, the slope of that horizontal line is zero.

The perpendicular line will be a vertical line of the form x=constant. The slope of a vertical line is undefined.