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 (m)

Use two points, e.g., (0, 1) and (-1, 0). Slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 1}{-1 - 0}=\frac{-1}{-1}=1 \).

Step3: Write slope - intercept form

Slope - intercept form is \( y = mx + b \). Substitute \( m = 1 \) and \( b = 1 \), we get \( y = x + 1 \).

Answer:

\( y = x + 1 \)