ANSWER:
A private library offers yearly membership. The equation of the line is y = 5x + 265.
SOLUTION:
Given, a private library offers an yearly membership worth $265.
But for every book to be issues, it applies an additional charge of $5.
We need to use the slope-intercept form to determine the equation of the line.
Let, the total amount to be paid in the library be y.
And the number of books issued in the library be x.
Now, by using slope intercept form y = mx + c
Where m is the slope of the line and c is the y intercept
The equation is like
y = 5x + 265
Here, $5 which is cost of one issued book acts as slope of the line
And $265 which is membership worth acts as intercept.
Hence, equation of the line is y = 5x + 265.