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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)

1 Answer

3 votes

Answer:

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

User Mahmoud Khaled
by
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