Question

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

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -3)$, so $b = -3$.

Step2: Calculate slope using two points

Use points $(0, -3)$ and $(-1, 4)$. Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{4 - (-3)}{-1 - 0} = \frac{7}{-1} = -7$

Step3: Plug into slope-intercept form

Slope-intercept form is $y = mx + b$, substitute $m=-7$ and $b=-3$.

Answer:

$y = -7x - 3$