PLEASE ANSWE

The equation y = -7x – 5 and another equation have a solution of (-2, 9). Which of the following could be the second equation?

A. y= 1/2x+10
B. y=-1/2x+7
C. y=3x-3
D. y=2x+5

A. y = x + 10

Step-by-step explanation:

Given;

If we equate the value of y in the first equation and the value of y in the second equation, then the solution of x should be -2 . Let's test this with equation A:

-7x - 5 = x + 10

-7x - x = 10 + 5

-x = 15

x = (15 × -2) ÷ 15 = -2

*This proves that equation A has the same value of x as our first equation!

Let's test if equation A has a solution; y = 9:

y = (-2) + 10 = 9

*This proves that equation A has the same value of y as our first equation!

So the second equation is,

A. y = x + 10