Start by finding the Summer Triangle, which consists of the three of the brightest stars in the sky--Vega, Deneb, and Altair. The Summer Triangle is high overhead throughout the summer, and it sinks lower in the west as fall progresses.
For this star hop, start from Altair in the constellation Aquila, the eagle.
From Altair, follow the stars that form the upper edge of Aquila the eagle's east wing, and use these stars as a pointer to take you to the constellation Capricornus. To me, the stars of Capricornus form a large, open-mouthed smile. Once you locate Capricornus, look at the southwest edge of the smile shape, and visualize a large triangle pointing to the southwest, as shown in the chart below. M75 is at the point of this triangle. It can be diffucult to locate because there are no bright stars nearby. Note the small triangle of stars circled in the chart, which should be visible in binoculars or a finderscope and can help guide you to M75.
