1. Given that the graph of a certain linear function is parallel to the line $y=\frac{5}{4} x+\frac{95}{4}$, and intersects the $x$-axis and $y$-axis at points $A$ and $B$ respectively, and passes through the point $(-1,-25)$. Then the number of integer points on the line segment $AB$ (including endpoints $A$ and $B$) is ( ) .
(A) 4
(B) 5
(C) 6
(D) 7
( Hint: Use the method of exhaustion. The integer points are $(19,0)$, $(15,-5)$, $(11,-10)$, $(7,-15)$, $(3,-20)$, a total of 5.)