Question

Question was provided via image upload.

Explanation:

Identify the y-intercept from the graph

Using the y-intercept knowledge point

$$
LATEXBLOCK0
$$

Determine the slope of the line

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK1
$$

Formulate the linear equation

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Comparing this with the options for Part 1:

• A: \(y = -3x - 2\)
• B: \(y = -2x - 3\)
• C: \(y = \frac{1}{2}x - 3\)

Thus, the correct option for Part 1 is C.

Find the zero of the function

Using the Zero of a Function knowledge point

$$
LATEXBLOCK3
$$

The zero of the function corresponds to the \(x\)-intercept, which is the point \((6, 0)\).
Comparing this with the options for Part 2:

• A: \((1.5, 0)\)
• B: \((0, -3)\)
• C: \((6, 0)\) (Note: The blurry image shows C as \((6, 0)\) based on the graph's \(x\)-intercept at \(x = 6\)).

Thus, the correct option for Part 2 is C.

Answer:

Question 1

• A. \(y = -3x - 2\)
• B. \(y = -2x - 3\)
• C. \(y = \frac{1}{2}x - 3\) (Correct answer)

Question 2

• A. \((1.5, 0)\)
• B. \((0, -3)\)
• C. \((6, 0)\) (Correct answer)