Question

select the correct answer.

which function passes through the points (2, 15) and (3, 26)?

\\(y = 11x + 7\\)
\\(y = 11x - 7\\)
\\(y = 7x + 11\\)
\\(y = -11x - 7\\)
\\(y = 7x - 11\\)

Explanation:

Calculate the slope of the line

Using the Slope of a Line knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{26 - 15}{3 - 2} = \frac{11}{1} = 11 $$

Determine the linear equation

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) \(y = 11x + 7\)
• (B) \(y = 11x - 7\) (Correct answer)
• (C) \(y = 7x + 11\)
• (D) \(y = -11x - 7\)
• (E) \(y = 7x - 11\)