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 graph represents the cost y in dollars to open an online gaming account and buy x games Find the slope and the yintercept of the line class=

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Answer:

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 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.

[tex]m = \frac{rise}{run}[/tex]

[tex]m=\frac{60}{6} =10[/tex]

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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