Question

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

Explanation:

Step1: Identify slope and intercept

Slope-intercept form is \( y = mx + b \), where \( m \) is slope and \( b \) is y-intercept. From the graph, the line crosses y-axis at \( (0, -2) \), so \( b = -2 \). To find slope, use two points: \( (0, -2) \) and \( (1, 3) \) (or others). Slope \( m = \frac{3 - (-2)}{1 - 0} = \frac{5}{1} = 5 \).

Step2: Write the equation

Substitute \( m = 5 \) and \( b = -2 \) into \( y = mx + b \), we get \( y = 5x - 2 \).

Answer:

\( y = 5x - 2 \)