Answer:
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
