Question

4 a graph is shown. which of the following statements are best represented by the graph?

select two correct answers.

• the x-intercept is (7,0).
• the slope is \\(\frac{7}{6}\\).
• the y-intercept is (0,-6).
• the zero is -7.
• the slope is \\(\frac{6}{7}\\).

Explanation:

Identify key points from the graph

Using the Linear Graphing knowledge point

$$
LATEXBLOCK0
$$

Determine the zero of the function

Using the y-intercept knowledge point

$$
LATEXBLOCK1
$$

Calculate the slope of the line

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Evaluate the given statements

We compare our calculated values with the options:

• The x-intercept is \((7,0)\): Incorrect, it is \((-7,0)\).
• The slope is \(\frac{7}{6}\): Incorrect, the slope is \(\frac{6}{7}\).
• The y-intercept is \((0,-6)\): Incorrect, it is \((0,6)\).
• The zero is \(-7\): Correct, since the graph crosses the x-axis at \((-7,0)\).
• The slope is \(\frac{6}{7}\): Correct, as calculated.

Answer:

• The x-intercept is \((7,0)\).
• The slope is \(\frac{7}{6}\).
• The y-intercept is \((0,-6)\).
• The zero is \(-7\). (Correct answer)
• The slope is \(\frac{6}{7}\). (Correct answer)