write equations for the horizontal and vertical lines passing through the point (6,9)​

The equations for the horizontal and vertical lines passing through the point (6,9)​ is y = 9 and x = 6 respectivelySolution:Given, point is (6, 9) We have to find the equations for horizontal and vertical lines passing through above given point. Now, let us find horizontal line,  We know that, horizontal line is parallel to x – axis, so slope of our required line is 0. The point slope form is given as [tex]y - y_1 = m(x - x_1)[/tex]Then, line equation in point slope form ⇒ y – 9 = 0(x – 6) ⇒ y – 9 = 0 ⇒ y = 9 Now, let us find vertical line, We know that, vertical line is parallel to y – axis, so slope of our required line is undefined [tex](\frac{1}{0})[/tex]Then, line equation in point slope form ⇒ [tex]y-9=\frac{1}{0}(x-6)[/tex]⇒ x – 6 = 0(y – 9) ⇒ x – 6 = 0 ⇒ x = 6 Hence, the horizontal line equation is y = 9 and vertical line equation is x = 6.