Which of the following points does not lie on the line y = -2x +5? A. (4-3)
B. (-2,9)
с. (3,1)
D. (-1,7)
E. (2, 1)

C and E are not on the line.

Step-by-step explanation:

Just substitute for the x and the y and see which ordered pair fits and which does not:

If Left side of the equation = right side then the point fits.

A.   y = -3

-2x+5 = -2(4) + 5 = -3  So A is on the line

B. y = 9

-2(-2) + 5 = 9 So this point does lie on the line.

C. y = 1

-2(3) + 5 = -1   No.

D. y = 7

-1(-1) + 5 = 7  YES.

E. y = 1

-2(1) + 5 = 3 NO.

C (3, 1 )

Step-by-step explanation:

To determine if a point lies on the line, substitute the x- coordinate of the point into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line, otherwise not on line.

A (4 , - 3)

y = - 2(4) + 5 = - 8 + 5 = - 3 ← lies on line

B (- 2, 9 )

y = - 2(- 2) + 5 = 4 + 5 = 9 ← lies on line

C (3, 1 )

y = - 2(3) + 5 = - 6 + 5 = - 1 ≠ 1 ← not on line

D (- 1, 7 )

y = - 2(- 1) + 5 = 2 + 5 = 7 ← lies on line

E (2, 1 ) = - 2(2) + 5 = - 4 + 5 = 1 ← lies on line

Thus (3, 1 ) does not lie on the line → C

step-by-step explanation:

no of data

divide by no of mode

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.