Final answer:
To create a line with a slope of 0 and a y-intercept of 5, position points to create a horizontal line that crosses the y-axis at (0, 5). The equation for this line is y = 5.
Step-by-step explanation:
To form a line with a slope of 0 and a y-intercept of 5, you need to position points on a graph so that the line is horizontal and crosses the y-axis (the vertical axis) at the point (0, 5). A line with a slope of 0 is flat, which means its rise over run (change in y over change in x) is equal to 0. The y-intercept is where the line crosses the y-axis.
The equation for this line can be written as y = 5. This is because the slope (m) is 0, so the mx part of the slope-intercept form equation y = mx + b is zero, leaving just the y-intercept (b), which is 5. Therefore, the equation of the line that you would graph is y = 0x + 5, which simplifies to y = 5.