Question

Part 2 out of 2 Identify and interpret the slope and the y-intercept. The slope is while the y-interceptis pounds when empty, and adding This graph represents a cooler which we lbs of weight with each cup of sports drink Check Nex Question 6 of 10 Try Another

Answer 1

The proportional relationship has the form y = kx

Where k is constant, and it represents a line pass through the origin

As shown in the given image, the given line is not pass through the origin

So, the relationship is non proportional

The graph does not pass through the origin , so b is not equal to zero

Therefore this shows a non proportional relationship

Now, we need to find the slope of the given line:

The general form of the line is: y = mx + b

Where m is the slope and b is the y-intercept

The given line is pass through the points ( 0 , 6 ) and ( 8 , 8 )

b = y-intercept [ the value of y when x = 0 ]

So, b = 6

The slope will be calculated as following:

`m=\text{slope}=(8-6)/(8-0)=(2)/(8)=(1)/(4)`

So, the equation of the line is:

`y=(1)/(4)x+6`

The slope is 1/4 , while y-intercept is 6

This graph represents a cooler which weighs is 6 pounds when empty , and adding 1/4 lbs of weight with each cup of sports drink added