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.
a. The formula for the point-slope form of a linear equation is:
y - y1 = m(x - x1)
where y1 and x1 are the coordinates of a point on the line, and m is the slope of the line.
b. In this case, the line is horizontal, which means the slope is zero. We know that the line passes through the point (2,1), so x1 = 2 and y1 = 1.
c. Plugging these values into the point-slope form formula, we have:
y - 1 = 0(x - 2)
Simplifying further, we have:
y - 1 = 0
Therefore, the point-slope form of the equation of the horizontal line that passes through the point (2, 1) is:
y = 1