Question

find the slope and the y-intercept of the graph of the linear equation. then write the equation of the line in slope-intercept form.

the slope is . (simplify your answer.)

Explanation:

Identify points on the line

Identify two points with integer coordinates from the graph:

$$ (x_1, y_1) = (-3, 0) $$

$$ (x_2, y_2) = (0, -3) $$

Calculate the slope

Apply the slope formula:

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{0 - (-3)} = \frac{-3}{3} = -1 $$

Determine the y-intercept and equation

Find the y-intercept \(b\) where the line crosses the y-axis, and write the equation:

$$ b = -3 $$

$$ y = -x - 3 $$

Answer:

Find the slope and the y-intercept of the graph of the linear equation. Then write the equation of the line in slope-intercept form.

The slope is <blank>-1</blank>. (Simplify your answer.)