Final answer:
The equation of the line with a slope of 1/7 that passes through the point (9,10) in point-slope form is y - 10 = (1/7)(x - 9).
Step-by-step explanation:
The student is asking for the equation of a line in point-slope form when given a slope and a point through which the line passes. To write the equation of a line in point-slope form, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point, we will plug in the given values. The slope is given as 1/7, and the point provided is (9, 10).
The equation of the line in point-slope form is then written as y - 10 = (1/7)(x - 9). This format directly shows the slope of the line and how y varies with x, relative to the specific point on the line we are given.