A line has a slope of 0 and passes through the point (12,


20). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

1 answer

A line with a slope of 0 is a horizontal line. The general form of a line in slope-intercept form is:

\[ y = mx + b \]

where \( m \) is the slope and \( b \) is the y-intercept. Since the slope \( m = 0 \), the equation simplifies to:

\[ y = b \]

Since the line passes through the point \( (12, -20) \), we can find \( b \) by noting that the y-value at any point on this line is -20. Therefore, the equation of the line is:

\[ y = -20 \]

This is already in slope-intercept form, where:

  • Slope \( m = 0 \)
  • Y-intercept \( b = -20 \)

Thus, the final equation of the line is:

\[ y = -20 \]