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What is the equation of the line that passes through the point (6,4) and has a slope of 0 ? Answer:

What is the equation of the line that passes through the point (6,4) (6,4) 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 (6,4) (6,4) and has a slope of 00 ?\newlineAnswer:
  1. Identify slope and point: Identify the slope and the point through which the line passes. The slope mm is given as 00, and the line passes through the point (6,4)(6,4).
  2. Understand line characteristics: Understand the characteristics of a line with a slope of 00. A line with a slope of 00 is horizontal, which means all points on the line have the same yy-coordinate.
  3. Write equation using slope-intercept form: Write the equation of the line using the slope-intercept form.\newlineThe slope-intercept form of a line is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.\newlineSince the slope mm is 00, the equation simplifies to y=by = b.
  4. Determine y-intercept: Determine the y-intercept bb using the given point (6,4)(6,4). Since the line is horizontal and passes through (6,4)(6,4), the y-coordinate of this point is the y-intercept. Therefore, b=4b = 4.
  5. Write final equation: Write the final equation of the line.\newlineSubstitute b=4b = 4 into the equation y=by = b to get the final equation of the line.\newlineThe equation is y=4y = 4.

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