The Supreme Court overturned the lower courts in a 5 - to - 4 decision , holding that school districts were not obligated to desegregate .
Supreme Court had been proven that the lines were drawn with racist intent on the part of the districts .
The Supreme Court overturned the lower courts in a 5 - to - 4 decision , holding that school districts were not obligated to desegregate unless it had been proven that the lines were drawn with racist intent on the part of the districts .