7. The graph to the right represents the distance \( (y) \) Kirk has walked after \( x \) seconds. a. What is the slope-intercept equation for the graph?

We know that a straight‐line graph can be written in slope–intercept form as   y = mx + b, where m is the slope (the rate at which distance increases with time) and b is the y–intercept (the distance at time 0). Step 1. Find the slope m. • Choose two points on the line. For example, if the graph shows that Kirk starts at (0, 0) and then is at (10, 15) after 10 seconds, the slope is calculated by   m = (change in y)/(change in x) = (15 − 0)/(10 − 0) = 15/10 = 3/2. Step 2. Find the y–intercept b. • Since the graph shows that when x = 0, y = 0, the y–intercept is b = 0. Step 3. Write the equation. • Substitute m and b in the slope–intercept form:   y = (3/2)x + 0 ⟹ y = (3/2)x. Thus, the slope–intercept equation for the graph is   y = (3/2)x. Note: If your particular graph shows different points, use those points in the same process to determine m and b.