Question

Which points lie on the line whose equation is 8x - 2y + 7 = -9? Select all that apply.

A.(-2, 0)
B. (1.3)
C. (-1.4)
D.(1,-4)
E. (0.-1)

Answer 1

A.(-2, 0)

C. (-1.4)

Explanation:

we know that

If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)

we have

`8x-2y+7=-9`

subtract 7 both sides

`8x-2y=-9-7`

`8x-2y=-16`

divide by 2 both sides

`4x-y=-8`

Substitute the value of x and the value of y of each point in the linear equation and analyze the result

Verify each point

case A) we have

(-2, 0)

For x=-2, y=0

substitute

`4(-2)-(0)=-8`

`-8=-8` ---> is true

so

the point lie on the line

case B) we have

(1, 3)

For x=1, y=3

substitute

`4(1)-(3)=-8`

`1=-8` ---> is not true

so

the point not lie on the line

case C) we have

(-1, 4)

For x=-1, y=4

substitute

`4(-1)-(4)=-8`

`-8=-8` ---> is true

so

the point lie on the line

case D) we have

(1, -4)

For x=1, y=-4

substitute

`4(1)-(-4)=-8`

`8=-8` ---> is not true

so

the point not lie on the line

case E) we have

(0, -1)

For x=0, y=-1

substitute

`4(0)-(-1)=-8`

`1=-8` ---> is not true

so

the point not lie on the line