Question

There is a prportional relationship between the number of cereal boxes candice stores on her pantry shelf X and the amount of shelf space (in inches) the boxes take up Y

Answer 1

y = 4x

Explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which:

m is the slope, given by the change in y divided by the change in x(selecting two points)

b is the y-intercept, which is the value of y when x = 0.

In this question:

We select two points: (0,0) and (1,4)

When x = 0, y = 0, so b = 0.

Change in y: 4 - 0 = 4

Change in x: 1 - 0 = 1

Slope: 4/1 = 4

So, the equation is:

y = 4x