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, 3), so \( b = 3 \).

Step2: Calculate slope

Use two points, e.g., (0, 3) and (-1, -2). Slope \( m=\frac{-2 - 3}{-1 - 0}=\frac{-5}{-1}=5 \).

Step3: Write slope - intercept form

Slope - intercept form is \( y = mx + b \). Substitute \( m = 5 \) and \( b = 3 \), we get \( y = 5x+3 \).

Answer:

\( y = 5x + 3 \)