Question

write the equation of the line in fully simplified slope-intercept form.
answer
answer:

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

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=1$ and $b=-3$.
$y = 1x - 3$ simplifies to $y=x-3$

Answer:

$y = x - 3$