Answer:
(4, -5)
Step-by-step explanation:
we know that
If a ordered pair lie on the line, then the ordered pair must satisfy the equation of the line
we have
[tex]y=-3x+7[/tex]
Verify each ordered pair
case 1) (4, -5)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]-5=-3(4)+7[/tex]
[tex]-5=-5[/tex] ---> is true
so
The ordered pair satisfy the linear equation
therefore'
The ordered pair lie on the line
case 2) (4, 19)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]19=-3(4)+7[/tex]
[tex]19=-5[/tex] ---> is not true
so
The ordered pair not satisfy the linear equation
therefore'
The ordered pair not lie on the line
case 3) (1,5)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]5=-3(1)+7[/tex]
[tex]5=4[/tex] ---> is not true
so
The ordered pair not satisfy the linear equation
therefore'
The ordered pair not lie on the line
case 4) (1,-19)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]-19=-3(1)+7[/tex]
[tex]-19=4[/tex] ---> is not true
so
The ordered pair not satisfy the linear equation
therefore'
The ordered pair not lie on the line
