The equation which represents the line is x + y = 5.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given a line that intersects x and y at 5.
Coordinates (5,0) and (0,5)
Equation of line is given by
y = mx + c where m is the slope and given by
m = (5-0)/(0-5) = -1
Now, substitute m = -1 and (5 ,0)
0 = -5 + c ⇒ c = 5
Now, equation will be
y = -x + 5
x + y = 5
Hence " The equation which represents the line is x + y = 5".
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