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What is the equation of the line that passes through the point (-5,7) and has a slope of 0 ? Answer:

What is the equation of the line that passes through the point (−5,7) (-5,7) and has a slope of 00 ?\newlineAnswer:

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Full solution

Q. What is the equation of the line that passes through the point (−5,7) (-5,7) and has a slope of 00 ?\newlineAnswer:
  1. Understand Line Characteristics: Understand the characteristics of the line.\newlineA line with a slope of 00 is horizontal. This means that for any xx-value, the yy-value remains constant. Since the line passes through the point (−5,7)(-5,7), the yy-value for all points on the line will be 77.
  2. Write Line Equation: Write the equation of the line.\newlineFor a horizontal line, the equation does not involve xx, because the yy-value does not change as xx changes. The equation of a horizontal line is simply y=[constant y-value]y = [\text{constant } y\text{-value}].
  3. Substitute Known Y-Value: Substitute the known yy-value into the equation.\newlineSince the line passes through the point (−5,7)(-5,7) and has a slope of 00, the constant yy-value is 77. Therefore, the equation of the line is y=7y = 7.

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