Expert: Socrates - 4/21/2009

Question
What are the intercepts of x+y=56? Are they (0,0)? Also, what are the intercepts for x+y=56, when x=14 and y=42? Where would the lines intersect if solving by graphing?

Answer
To find the x intercept , put 0 in for y and solve for x . To find the y intercept , put 0 in for x and solve for y .

In this example, to find the x intercept , put 0 in for y in x+y=56.

x + 0 = 56  , so x = 56 or (56,0) is the x intercept.

To find the y intercept , put 0 in for x in x+y=56.

0 + y = 56  , so y = 56 or (0,56) is the y intercept.


To find the point where the line x+y=56 intercepts or meets the line x=14 , put 14 in for x in x+y = 56 . So 14 + y = 56 and y = 42 . The line x+y = 56 meets or intercepts the line x=14 at the point (14,42)

To find the point where the line x+y=56 intercepts or meets the line y=42 , put 42 in for y in x+y = 56 . So x + 42 = 56 and x = 14 . The line x+y = 56 meets or intercepts the line y=42 at the point (14,42)