Question

5 the graphs of lines c and d are shown on the grid.
which system of equations is best represented by this graph?
a \\(\

$$\begin{aligned} y &= 2x + 6 \\\\ y &= -4x - 12 \\end{aligned}$$

\\)
b \\(\

$$\begin{aligned} y &= \\frac{1}{2}x + 6 \\\\ y &= -4x - 12 \\end{aligned}$$

\\)
c \\(\

$$\begin{aligned} y &= 2x + 6 \\\\ y &= -4x - 3 \\end{aligned}$$

\\)
d \\(\

$$\begin{aligned} y &= \\frac{1}{2}x + 6 \\\\ y &= -4x - 3 \\end{aligned}$$

\\)

Explanation:

Analyze line d

Using the Slope-Intercept Form and Systems of Linear Equations knowledge points

$$
LATEXBLOCK0
$$

Analyze line c

Using the Slope-Intercept Form and Systems of Linear Equations knowledge points

$$
LATEXBLOCK1
$$

Match with options

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK2
$$

This matches option B.

Answer:

• A \(

$$\begin{aligned} y &= 2x + 6 \\ y &= -4x - 12 \end{aligned}$$

\)

• **B \(

$$\begin{aligned} y &= \frac{1}{2}x + 6 \\ y &= -4x - 12 \end{aligned}$$

\) (Correct answer)**

• C \(

$$\begin{aligned} y &= 2x + 6 \\ y &= -4x - 3 \end{aligned}$$

\)

• D \(

$$\begin{aligned} y &= \frac{1}{2}x + 6 \\ y &= -4x - 3 \end{aligned}$$

\)