Question

Determine which of the following points lies on the line of the linear equation y = -3x + 7. (4, -5) (4 ,19) (1, 5) (1, -19)

Answer 1

(4, -5)

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

`y=-3x+7`

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

`-5=-3(4)+7`

`-5=-5` ---> 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

`19=-3(4)+7`

`19=-5` ---> 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

`5=-3(1)+7`

`5=4` ---> 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

`-19=-3(1)+7`

`-19=4` ---> is not true

so

The ordered pair not satisfy the linear equation

therefore'

The ordered pair not lie on the line