The graph represents the cost y (in dollars) to open an online gaming account and buy x games. Find the slope and the y-intercept of the line.

The slope of the line is 10.

The y-intercept of the line is 15.

Locate two points on the graph, choosing points whose coordinates are integers. We will use (3, 45) and (9, 105).

Starting with the point on the left, (3, 45) going from the first point to the second point, (9, 105).

The rise on the vertical leg of the triangle = (105 - 45) = 60

The run on the horizontal leg of the triangle = (9-3) = 6

Use the slope formula.

The slope of the line is 10.

The y-intercept of a graph is the point where the graph crosses the y-axis. (Because a function must pass the vertical line test, a function can have at most one y-intercept.

the y-intercept of the line is 15.

Therefore, The slope of the line is 10 and the y-intercept is 15.

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Slope = 0.1 or 1/10

Y-int. = 15

Step-by-step explanation:

We have points (0,15), (3,45), (6,75), and (9,105).

slope is rise over run, or rise/run.

So, 9-3/105-45=6/60

now, simplify 6/60.

6/60=1/10 or 0.1

We already have the y-intercept, (0,15), because that's what intercepts the y-axis.

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.