Question

1. write the equation of the line shown on in slope - intercept form.

Explanation:

Step1: Identify slope and y-intercept

From the graph, the line crosses the y-axis at (0, 5), so the y-intercept \( b = 5 \). To find the slope \( m \), use two points, e.g., (0, 5) and (-5, 0). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Substituting, \( m=\frac{5 - 0}{0 - (-5)}=\frac{5}{5}=1 \).

Step2: Write in slope-intercept form

Slope-intercept form is \( y = mx + b \). Substituting \( m = 1 \) and \( b = 5 \), we get \( y = x + 5 \).

Answer:

\( y = x + 5 \)