Question

1. a line passes through the points \\((0, 8)\\) and \\((6, 0)\\).

a. create a graph of the line.
b. circle the equation that could not be used to represent the line.
i. \\(y = -\frac{4}{3}x + 8\\)
ii. \\(y - 4 = -\frac{4}{3}(x - 3)\\)
iii. \\(3x + 4y = 24\\)

Explanation:

Find the slope of the line

$$ m = \frac{0 - 8}{6 - 0} = -\frac{8}{6} = -\frac{4}{3} $$

Determine the correct equations

$$
LATEXBLOCK0
$$

Identify the incorrect equation

$$ 3x + 4y = 24 \text{ is incorrect because the correct standard form is } 4x + 3y = 24. $$

Answer:

Question 8a

The graph is a straight line passing through the points \((0, 8)\) and \((6, 0)\).

Question 8b

The equation that could NOT be used to represent the line is:

$$\text{iii. } 3x + 4y = 24$$