Final answer:
To graph the line y = 1/8x + 4, start by plotting the y-intercept at (0, 4), then use the slope to find additional points and connect them with a straight line.
Step-by-step explanation:
To graph the line y = 1/8x + 4 using the slope and y-intercept, you can follow these steps:
- Identify the y-intercept, which is the constant term. In this case, the y-intercept is 4.
- Plot the y-intercept on the y-axis at the point (0, 4).
- Use the slope, which is the coefficient of x, to find additional points on the line. The slope is 1/8, which means for every increase of 8 units on the x-axis, the y-value increases by 1 unit.
- Starting from the y-intercept, move 8 units to the right on the x-axis and 1 unit up on the y-axis to plot another point.
- Repeat step 4 to plot additional points on the line.
- Connect the plotted points with a straight line.