Question

write an equation that represents the line.
use exact numbers.

Explanation:

Identify points on the line

$$ (x_1, y_1) = (0, 3),\quad (x_2, y_2) = (2, 6) $$

Calculate the slope

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{2 - 0} = \frac{3}{2} $$

Write the equation in slope-intercept form

$$ y = \frac{3}{2}x + 3 $$

Answer:

Write an equation that represents the line. Use exact numbers.

<blank>\(y = \frac{3}{2}x + 3\)</blank>