Yes! There is one output and one input, which is the definition of a function. You can also graph the function and test for the vertical line test. Graph a few points, connects the dots. Draw a vertical line through the graph and if the vertical line passes through the graph more than once, it is not a graph.
The ratio of 2/3 to 3/8 is...
(2/3) / (3/8) = (2 x 8) / (3 x 3) = 16/9
The expression y = 1/2x + 6 is written in slope-intercept form (y = mx + b) where m equals the slope and b equals the y-intercept. In this equation m = 1/2 and b = 6. So, the slope is 1/2 and the y-intercept is 6. The y-intercept is going to be on y-axis, so, its going to be written as (0, 6). The only option that is correct is [ The slope is 1/2 and the y-intercept is at the point (0,6) ]
Best of Luck!