A line passes through the point (3,6) and has slope m=0. Find the equation in point-slope form

Question

A line passes through the point (3,6) and has a slope m=0. Find the equation in point slope form

Answer 1

The point-slope form of the equation 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.

Fill in the values for m, x₁, and y_1:

_{y - 6 = 0*(x-3) [This is the point-slope form of the equation of this line.]}

_{Often, y-6=0 will be changed to y=6, but please realize that this is the slope-intercept form of the equation for this line.}

Answer 2

Since the slope is zero, the line is horizontal.

Equation of horizontal line passing through the point (3,6) is y = 6.