What linear equation in slope intercept from does this graph represent?

or

Step-by-step explanation:

The equation of a line is , with being the slope and being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is .

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use to find the slope.

Let's substitute in our points.

Simplify.

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is .

We'll put that in our equation for a line and...bam!

or

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x