Question

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write the equation of this line in slope - intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -5)$, so $b = -5$.

Step2: Calculate slope using two points

Use points $(0, -5)$ and $(-6, 0)$. Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{0 - (-5)}{-6 - 0} = \frac{5}{-6} = -\frac{5}{6}$

Step3: Substitute into slope-intercept form

Slope-intercept form is $y = mx + b$. Substitute $m = -\frac{5}{6}$ and $b = -5$.

Answer:

$y = -\frac{5}{6}x - 5$