diff --git a/src/Makefile.sources b/src/Makefile.sources
index 0e7b54b58..156bae263 100644
--- a/src/Makefile.sources
+++ b/src/Makefile.sources
@@ -82,6 +82,7 @@ cairo_private = \
 	cairo-region-private.h \
 	cairo-rtree-private.h \
 	cairo-scaled-font-private.h \
+	cairo-slope-private.h \
 	cairo-spans-private.h \
 	cairo-surface-fallback-private.h \
 	cairo-surface-private.h \
diff --git a/src/cairo-hull.c b/src/cairo-hull.c
index 1fa919bf3..8a1a31e24 100644
--- a/src/cairo-hull.c
+++ b/src/cairo-hull.c
@@ -36,6 +36,8 @@
 
 #include "cairoint.h"
 
+#include "cairo-slope-private.h"
+
 typedef struct cairo_hull {
     cairo_point_t point;
     cairo_slope_t slope;
diff --git a/src/cairo-path-fixed.c b/src/cairo-path-fixed.c
index b71603087..7ade8b24d 100644
--- a/src/cairo-path-fixed.c
+++ b/src/cairo-path-fixed.c
@@ -39,6 +39,7 @@
 #include "cairoint.h"
 
 #include "cairo-path-fixed-private.h"
+#include "cairo-slope-private.h"
 
 static cairo_status_t
 _cairo_path_fixed_add (cairo_path_fixed_t  *path,
diff --git a/src/cairo-path-stroke.c b/src/cairo-path-stroke.c
index 33fed4fc3..ba169ae72 100644
--- a/src/cairo-path-stroke.c
+++ b/src/cairo-path-stroke.c
@@ -38,7 +38,9 @@
 
 #define _BSD_SOURCE /* for hypot() */
 #include "cairoint.h"
+
 #include "cairo-path-fixed-private.h"
+#include "cairo-slope-private.h"
 
 typedef struct _cairo_stroker_dash {
     cairo_bool_t dashed;
diff --git a/src/cairo-pen.c b/src/cairo-pen.c
index 8db8fcb36..cfb67cae4 100644
--- a/src/cairo-pen.c
+++ b/src/cairo-pen.c
@@ -38,6 +38,8 @@
 
 #include "cairoint.h"
 
+#include "cairo-slope-private.h"
+
 static int
 _cairo_pen_vertices_needed (double tolerance,
 			    double radius,
diff --git a/src/cairo-polygon.c b/src/cairo-polygon.c
index fdc5c92d3..9de92bfae 100644
--- a/src/cairo-polygon.c
+++ b/src/cairo-polygon.c
@@ -36,6 +36,8 @@
 
 #include "cairoint.h"
 
+#include "cairo-slope-private.h"
+
 void
 _cairo_polygon_init (cairo_polygon_t *polygon)
 {
diff --git a/src/cairo-slope-private.h b/src/cairo-slope-private.h
new file mode 100644
index 000000000..4148c686b
--- /dev/null
+++ b/src/cairo-slope-private.h
@@ -0,0 +1,65 @@
+/* cairo - a vector graphics library with display and print output
+ *
+ * Copyright © 2002 University of Southern California
+ * Copyright © 2005 Red Hat, Inc.
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it either under the terms of the GNU Lesser General Public
+ * License version 2.1 as published by the Free Software Foundation
+ * (the "LGPL") or, at your option, under the terms of the Mozilla
+ * Public License Version 1.1 (the "MPL"). If you do not alter this
+ * notice, a recipient may use your version of this file under either
+ * the MPL or the LGPL.
+ *
+ * You should have received a copy of the LGPL along with this library
+ * in the file COPYING-LGPL-2.1; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * You should have received a copy of the MPL along with this library
+ * in the file COPYING-MPL-1.1
+ *
+ * The contents of this file are subject to the Mozilla Public License
+ * Version 1.1 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ * http://www.mozilla.org/MPL/
+ *
+ * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
+ * OF ANY KIND, either express or implied. See the LGPL or the MPL for
+ * the specific language governing rights and limitations.
+ *
+ * The Original Code is the cairo graphics library.
+ *
+ * The Initial Developer of the Original Code is University of Southern
+ * California.
+ *
+ * Contributor(s):
+ *	Carl D. Worth <cworth@cworth.org>
+ */
+
+#ifndef _CAIRO_SLOPE_PRIVATE_H
+#define _CAIRO_SLOPE_PRIVATE_H
+
+#include "cairo-types-private.h"
+#include "cairo-fixed-private.h"
+
+static inline void
+_cairo_slope_init (cairo_slope_t *slope,
+		   const cairo_point_t *a,
+		   const cairo_point_t *b)
+{
+    slope->dx = b->x - a->x;
+    slope->dy = b->y - a->y;
+}
+
+static inline cairo_bool_t
+_cairo_slope_equal (const cairo_slope_t *a, const cairo_slope_t *b)
+{
+    return _cairo_int64_eq (_cairo_int32x32_64_mul (a->dy, b->dx),
+			    _cairo_int32x32_64_mul (b->dy, a->dx));
+}
+
+cairo_private int
+_cairo_slope_compare (const cairo_slope_t *a,
+	              const cairo_slope_t *b) cairo_pure;
+
+
+#endif /* _CAIRO_SLOPE_PRIVATE_H */
diff --git a/src/cairo-slope.c b/src/cairo-slope.c
index 15685b789..bb3b411e6 100644
--- a/src/cairo-slope.c
+++ b/src/cairo-slope.c
@@ -36,14 +36,7 @@
 
 #include "cairoint.h"
 
-void
-_cairo_slope_init (cairo_slope_t *slope,
-		   const cairo_point_t *a,
-		   const cairo_point_t *b)
-{
-    slope->dx = b->x - a->x;
-    slope->dy = b->y - a->y;
-}
+#include "cairo-slope-private.h"
 
 /* Compare two slopes. Slope angles begin at 0 in the direction of the
    positive X axis and increase in the direction of the positive Y
diff --git a/src/cairo-spline.c b/src/cairo-spline.c
index 45eedbd6a..780c21fe3 100644
--- a/src/cairo-spline.c
+++ b/src/cairo-spline.c
@@ -36,6 +36,8 @@
 
 #include "cairoint.h"
 
+#include "cairo-slope-private.h"
+
 cairo_bool_t
 _cairo_spline_init (cairo_spline_t *spline,
 		    cairo_spline_add_point_func_t add_point_func,
diff --git a/src/cairo-traps.c b/src/cairo-traps.c
index c6709de37..d5b41e5d4 100644
--- a/src/cairo-traps.c
+++ b/src/cairo-traps.c
@@ -40,6 +40,7 @@
 #include "cairoint.h"
 
 #include "cairo-region-private.h"
+#include "cairo-slope-private.h"
 
 /* private functions */
 
diff --git a/src/cairoint.h b/src/cairoint.h
index bbeb8e090..9fd789da5 100644
--- a/src/cairoint.h
+++ b/src/cairoint.h
@@ -2427,16 +2427,6 @@ _cairo_trapezoid_array_translate_and_scale (cairo_trapezoid_t *offset_traps,
 					    double tx, double ty,
 					    double sx, double sy);
 
-/* cairo-slope.c */
-cairo_private void
-_cairo_slope_init (cairo_slope_t *slope,
-		   const cairo_point_t *a,
-		   const cairo_point_t *b);
-
-cairo_private int
-_cairo_slope_compare (const cairo_slope_t *a,
-	              const cairo_slope_t *b) cairo_pure;
-
 /* cairo-pattern.c */
 
 cairo_private cairo_pattern_t *
@@ -2758,13 +2748,6 @@ CAIRO_END_DECLS
 #include "cairo-malloc-private.h"
 #include "cairo-hash-private.h"
 
-static inline cairo_bool_t
-_cairo_slope_equal (const cairo_slope_t *a, const cairo_slope_t *b)
-{
-    return _cairo_int64_eq (_cairo_int32x32_64_mul (a->dy, b->dx),
-			    _cairo_int32x32_64_mul (b->dy, a->dx));
-}
-
 #if HAVE_VALGRIND
 #include <memcheck.h>