Question

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

Answer 1

Answer:

A.(-2, 0)

C. (-1.4)

Step-by-step 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