What is the method and solution please​

Step-by-step explanation:

Using slope-intercept form:

The equation of line is given by:

                        .....[1]

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

Here, y represents the distance from the light house and x represents the number of hours.

As per the statement:

The data table represents the distance between a well-known lighthouse and a cruise ship over time.

From the given table:

Consider any two points:

(2, 53) and (4, 95.5)

Using slope formula:

Substitute the given points we have;

Substitute in [1] we have;

Substitute any points from the given table

Let x = 6 and y = 138

Solve for b:

⇒

Subtract 127.5 from both sides we have;

⇒

We get, the equation of line:

Therefore, the equation represents the distance (y) from the lighthouse, based on the number of hours (x) is,