Fill in the blank

The equation y=*blank* models the relationship

y = 14x

Step-by-step explanation:

Slope-intercept form:

y = mx + b

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

First, let's find b.

This is the point on the graph where the line meets the y-axis.

If you look at the graph, you may notice that the line crosses the y-axis at the origin, or (0, 0).

Therefore, b = 0.

Next, we will find m.

This is the slope, or rate of change of the line.

To find the slope, let's choose a random point on the line.

In this case, we'll use the coordinates (2, 28).

x-coordinate: 2

y-coordinate: 28

Now, we'll substitute these coordinates into the slope-intercept equation.

y = mx + b

28 = m2 + 0

(Remember, we found the value of b earlier.)

Solve:

28 = m2 + 0

28 = 2m

/2     /2

14 = m

Therefore, the slope is 14.

Now, let's put it all together:

y = mx + b

y = 14x + 0

y = 14x

Therefore, the equation of the line is y = 14x.