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 =

$\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{0--2}=\frac{2}{2}=1$

The slope of Line B =

$\frac{y_2-y_1}{x_2-x_1}=\frac{-4-0}{0--4}=\frac{-4}{4}=-1$

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;

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