Question

Find the slope of the line on the graph using your chosen points. Remember to use RISE / RUN. Simplify your slope. The graph doesn’t count by ones! Use the values on the graph to find the slope.

The points I chose were (3, 30) and (12 , 120)

This is a view of the graph:

The first number near 0 going up once on the Y axis is 15
Next is 30, then 45 then 60 then 75 then 90 then 105 then 120. This is all on the Y Axis going up.

Now the X Axis is 3, 6, 9, 12, 15

On the Y axis is labeled as "amount paid (in dollars"
On the X axis is labeled as "# of bags of popcorn"

Answer 1

To find the slope of the line using the chosen points (3, 30) and (12, 120), we can use the formula:

slope = (change in y)/(change in x)

First, let's calculate the change in y:
change in y = 120 - 30 = 90

Next, let's calculate the change in x:
change in x = 12 - 3 = 9

Now, we can calculate the slope:
slope = (change in y)/(change in x) = 90/9 = 10

Therefore, the slope of the line on the graph is 10.

Answer 2

how would it be written as in Y = Kx

Answer 3

To write the equation of the line in the form y = kx, where y represents the amount paid (in dollars) and x represents the number of bags of popcorn, we need to find the value of k.

Given that the slope of the line is 10, we can substitute this value for k in the equation:

y = 10x

So, the equation of the line would be y = 10x.