A student told to draw the graph of y = x

^{2}+ 4x – 6. He is then told to draw a liner graph on the same axis such that the intersection of the two graphs will give the solutions to the equation x^{2}+ 4x – 7 = 0, What is the equation of the linear graph he needs to draw?-
**A.**

x = 1 -
**B.**

x = -1 -
**C.**

y = 1 -
**D.**

y = -1 -
**E.**

x + y = 1

##### Correct Answer: Option C

##### Explanation

The linear equation will be the difference between the equation.

y=x^{2} + 4x – 6 and x^{2} + 4x – 7 = 0

y=x^{2} + 4x – 6, ( 0 = x^{2} + 4x – 7)

y = -(-1) y = 1