Answer:
Yes, y = 2/3 x - 1 is a function.
Explanation:
A function is a relation that assigns exactly one output value to each input value. To check if a relation is a function, we can use the vertical line test. This means that if we draw a vertical line anywhere on the graph of the relation, it should only intersect the graph at one point. If the graph crosses the vertical line more than once, then it is not a function.
To graph y = 2/3 x - 1, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, m = 2/3 and b = -1. This means that the slope of the line is 2/3, which means that for every unit increase in x, y increases by 2/3. The y-intercept is -1, which means that the line crosses the y-axis at (0, -1).
To plot the graph, we can start from the y-intercept and use the slope to find another point on the line. For example, if we move one unit to the right from (0, -1), we have to move 2/3 units up to stay on the line. This gives us another point (1, -1/3). We can repeat this process to find more points on the line, or we can use a graphing calculator to draw the line for us.