Question

.Which of the sets of equations represent the two lines graphed?A) y = x + 2 and y = x - 4B)y = x + 2 and y = -x - 4C)y = -x + 2 and y - x - 4D)y = x - 2 and y = -x - 4

Answer 1

Option B is the correct answer.

Take two points on each of the two lines.

Line A: (-2,0) and (0,2)

Line B: (-4,0) and (0,-4)

slope of Line A =

`(y_2-y_1)/(x_2-x_1)=(2-0)/(0--2)=(2)/(2)=1`

The slope of Line B =

`(y_2-y_1)/(x_2-x_1)=(-4-0)/(0--4)=(-4)/(4)=-1`

The equations of the lines are;

Equation of Line A ;

`\begin{gathered} y-y_1=slope(x-x_1) \\ y-0=1(x--2) \\ y=x+2 \end{gathered}`

Equation of Line B;

`\begin{gathered} y-y_1=slope(x-x_1) \\ y-0=-1(x--4) \\ y=-x-4 \end{gathered}`