Question

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 $(0, -1)$, so $b = -1$.

Step2: Calculate slope

Use two points $(0, -1)$ and $(3, 2)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{2 - (-1)}{3 - 0}=\frac{3}{3}=1$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=1$, $b=-1$.
$y = 1x + (-1)$

Answer:

$y = x - 1$