Final answer:
The value of c in the equation y = 5x + c when the line passes through point A(5,2) is -23.
Step-by-step explanation:
The equation y = 5x + c represents a linear function, where x is the independent variable and y is the dependent variable. In this equation, the value of c represents the y-intercept, which is the point where the line crosses the y-axis. To find the value of c, we can substitute the coordinates of point A(5,2) into the equation and solve for c.
Substituting x = 5 and y = 2 into the equation y = 5x + c:
2 = 5(5) + c
2 = 25 + c
c = 2 - 25
c = -23
Therefore, the value of c is -23.