Question

a table modeling a linear relationship is shown.

write an equation in standard form that represents the relationship.

• \\(x + y = -3\\)
• \\(x + y = 3\\)
• \\(-x + y = -3\\)
• \\(-x + y = 3\\)

Explanation:

Calculate the slope of the linear relationship

$$ m = \frac{7 - 5}{4 - 2} = \frac{2}{2} = 1 $$

Write the equation in slope-intercept form

$$
LATEXBLOCK0
$$

Convert the equation to standard form

$$ -x + y = 3 $$

Answer:

• (A) \(x + y = -3\)
• (B) \(x + y = 3\)
• (C) \(-x + y = -3\)
• (D) \(-x + y = 3\) (Correct answer)