Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). a. Using variables, write out the formula for the point-slope form of the equation.

b. Identify the values for m, x1, and y1.

c. Fill these values into the point-slope form of the equation from part (a), and simplify as needed.

Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.

1 answer

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

b. Since the line is horizontal, its slope is 0. Therefore, m = 0. The given point is (2, 1), so x1 = 2 and y1 = 1.

c. Plugging in the values into the point-slope form equation, we have y - 1 = 0(x - 2).

Simplifying, we get y - 1 = 0.

Therefore, the equation of the horizontal line that passes through the point (2, 1) is y = 1.