Final answer:
The equation of the line is y = (1/2)x + 8. To graph the line, plot the y-intercept at (0, 8) and use the slope to find additional points.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To write an equation in slope-intercept form with a slope of 1/2 and a y-intercept of 8, we substitute 1/2 for m and 8 for b:
y = (1/2)x + 8
To graph the line, plot the y-intercept at point (0, 8), and then use the slope to find additional points. For example, if we move 1 unit to the right (increase x by 1), we move 1/2 units up (increase y by 1/2). Connect the points to create the line.