Final answer:
The slope-intercept form of a linear equation is represented as y = mx + b. In the given equation y = (1/2)x + 3, the slope (m) is 1/2, and the y-intercept (b) is 3. Therefore, the correct answer is b) y = (1/2)x + 3.
Step-by-step explanation:
The equation of the line in slope-intercept form given the information y = (1/2)x + 3 is b) y = (1/2)x + 3. The slope-intercept form of a line is represented as y = mx + b, where m stands for the slope, and b stands for the y-intercept of the line. The slope is a measure of the line's steepness and is calculated as the rise over the run (the change in y over the change in x), and the y-intercept is the point where the line crosses the y-axis (when x = 0).
According to the slope and y-intercept of a linear equation, b in the expression y = a + bx is the slope, and a is the y-intercept. In this context, the information already provides us with the equation in the correct form. Therefore, the correct answer is directly given as option b) y = (1/2)x + 3.