The point-slope form of a line is given by the equation y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

For a horizontal line, the slope m is 0 (since it doesn't rise or fall). The point given is (2, 1), so x1 = 2 and y1 = 1.

Substituting these values into the point-slope form gives:

y - 1 = 0(x - 2)

Simplifying this equation gives the final answer:

y = 1

So, the point-slope form of the equation of the horizontal line that passes through the point (2, 1) is y = 1.

Question

The point-slope form of a line is given by the equation y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

For a horizontal line, the slope m is 0 (since it doesn't rise or fall). The point given is (2, 1), so x1 = 2 and y1 = 1.

Substituting these values into the point-slope form gives:

y - 1 = 0(x - 2)

Simplifying this equation gives the final answer:

y = 1

So, the point-slope form of the equation of the horizontal line that passes through the point (2, 1) is y = 1.

Knowee AI · Accepted Answer

The point-slope form of a line is given by the equation y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

For a horizontal line, the slope m is 0 (since it doesn't rise or fall). The point given is (2, 1), so x1 = 2 and y1 = 1.

Substituting these values into the point-slope form gives:

y - 1 = 0(x - 2)

Simplifying this equation gives the final answer:

y = 1

So, the point-slope form of the equation of the horizontal line that passes through the point (2, 1) is y = 1.

Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.