The graph of the line with a slope of 1/3 and passing through the point (0,8) is a straight line that passes through the point (0,8) and has a slope of 1/3.
To graph the line with a slope of 1/3 and passing through the point (0,8), we can use the point-slope form of the equation of a line:
[ y - y_1 = m(x - x_1) ]
where m is the slope, and (x1, y1) is the given point.
Substituting the given values, we get:
[ y - 8 = \frac{1}{3}(x - 0) ]
Simplifying the equation, we get:
[ y - 8 = \frac{1}{3}x ]
[ y = \frac{1}{3}x + 8 ]
Therefore, the equation of the line is y = (1/3)x + 8. To graph the line, we can plot the given point (0,8) and then use the slope to find another point on the line. Since the slope is 1/3, we can go up 1 unit and to the right 3 units from the point (0,8) to get another point on the line. Plotting these two points and connecting them with a straight line, we get:
Graph of line with slope 1/3 passing through point (0,8)
Therefore, the graph of the line with a slope of 1/3 and passing through the point (0,8) is a straight line that passes through the point (0,8) and has a slope of 1/3.