Answer:
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,