Question

The table shows the volume of water released by a dam over a certain period of time. Graph a line representing the data in the table, and find the slope and y-intercept of the line from the graph. Then enter the equation for the graph in slope-intercept form.

Answer 1

Okay, here we have this:

Considering the provided information. we are going to calculate the slope, and y-intercept of the line, so we obtain the following:

First we will calculate the slope using the following formula:

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

m=(80000-40000)/(10-5)

m=40000/5

m=8000

y-intercept:

y=mx+b

40000=(8000)5+b

40000=40000+b

b=0

Finally we obtain that the equation of the line is: y=8000x.

Let's graph the equation: