Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible. Through (11,9) and (9,11) What is the equation of the line?

 y = -x + 20

Step-by-step explanation:

Given:

- Two points ( 11 , 9 ) and ( 9 , 11 )

Find:

- The equation of the line passing through given points

Solution

- The equation of a linear line is given as :

                            y = m*x + C

Where, m: the slope

            C: The y-intercept

- The slope of the line m is determined by:

                           m =  ( y_2 - y_1 ) / ( x_2 - x_1)

                           m = ( 11 - 9 ) / ( 9 - 11 )

                           m = -1

- The y-intercept of the line is determined by:

                           y_1 = -x_1 + C

                            C = y_1 + x_1

                            C = 20

- The equation of the line passing through the given points as follows:

                            y = -x + 20