Question

Write an equation in the form y =mx+b ​

Answer 1

We need to write an equation in the slope-intercept form : y = mx + b

We can already determine that the value for be would be 0, since the graph is starting at 0.

Our equation currently looks like this:

y = mx + 0

To find the slope, or m, we must determine how much the graph is changing by. In other words, what is the rate of change for the graph.

We could see that for everyone 1 minute, there is 20 gallons of water, which means that this would be our m value

Your equation should look like this:

y = 20x + 0

Answer:

y = 20x + 0

or

y = 20x

(They're both the same thing)

Answer 2

y = 20x

Explanation:

y =mx+b

The y intercept is zero because it goes through the point (0,0)

That means b is zero

We need to find the slope

m = (y2-y1)/(x2-x1)

= (40-20)/(2-1)

= 20/1

m = 20

The equation is

y = 20x+0

y = 20x