We have been given a function [tex]f(x) = 5x - 6[/tex]. We are asked to choose the point from given choices, which is not a solution of given function.
Let us check each given point one by one.
A. (3,9)
[tex]f(x) = 5x - 6[/tex]
[tex]9= 5(3)-6[/tex]
[tex]9=15-6[/tex]
[tex]9=9[/tex]
Since both sides of function are equal, therefore, point (3,9) is the solution of our given function.
B. [tex](1,-1)[/tex]
[tex]f(x) = 5x - 6[/tex]
[tex]-1= 5(1)-6[/tex]
[tex]-1= 5-6[/tex]
[tex]-1=-1[/tex]
Since both sides of function are equal, therefore, point [tex](1,-1)[/tex] is the solution of our given function.
C. [tex](5,19)[/tex]
[tex]f(x) = 5x - 6[/tex]
[tex]19= 5(5)-6[/tex]
[tex]19= 25-6[/tex]
[tex]19=19[/tex]
Since both sides of function are equal, therefore, point [tex](5,19)[/tex] is the solution of our given function.
D. [tex](4,10)[/tex]
[tex]f(x) = 5x - 6[/tex]
[tex]10= 5(4)-6[/tex]
[tex]10= 20-6[/tex]
[tex]10\neq 14[/tex]
Since both sides of function are not equal, therefore, point [tex](4,10)[/tex] is not a solution of our given function and option D is the correct choice.
