Question

write a slope-intercept equation for a line that passes through \\((-3,1)\\) and \\((2,-14)\\).

the slope-intercept equation for the line is \\(\square\\).
(simplify your answer. type an integer or a simplified fraction. type an equation.)

Explanation:

Calculate the slope of the line

Using the Linear Equations knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-14 - 1}{2 - (-3)} = \frac{-15}{5} = -3 $$

Find the y-intercept

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Write the final equation

Using the Slope-Intercept Form knowledge point

$$ y = -3x - 8 $$

Answer:

Write a slope-intercept equation for a line that passes through \((-3,1)\) and \((2,-14)\).

The slope-intercept equation for the line is <blank>\(y = -3x - 8\)</blank>.
(Simplify your answer. Type an integer or a simplified fraction. Type an equation.)