Question

write a slope-intercept equation for a line that passes through \\((0, -6)\\) and \\((7, -2)\\).

the slope-intercept equation for the line is \\(\square\\).
(use integers or fractions for any numbers in the equation.)

Explanation:

Calculate the slope of the line

Using the Slope from Two Points knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - (-6)}{7 - 0} = \frac{4}{7} $$

Identify the y-intercept

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Write the final equation

Using the Slope-Intercept Form knowledge point

$$ y = \frac{4}{7}x - 6 $$

Answer:

Write a slope-intercept equation for a line that passes through \((0, -6)\) and \((7, -2)\).

The slope-intercept equation for the line is <blank>\(y = \frac{4}{7}x - 6\)</blank>.
(Use integers or fractions for any numbers in the equation.)