Final answer:
To find the equation of a line perpendicular to 2x + y = 7, rearrange the equation to slope-intercept form, find the slope, and then determine the negative reciprocal. Use the point-slope form of a line with the given point and the negative reciprocal of the slope to find the equation of line u.
Step-by-step explanation:
To find the equation of a line perpendicular to another line, we need to determine the slope of the given line and then find the negative reciprocal of that slope. The equation 2x + y = 7 can be rearranged to the slope-intercept form y = -2x + 7, where the slope is -2. The negative reciprocal of -2 is 1/2, so the slope of the perpendicular line is 1/2. Using the point (-10,1) and the slope 1/2, we can use the point-slope form of the line to find the equation of line u: y - 1 = 1/2(x - (-10)). Simplifying, we get y - 1 = 1/2(x + 10), which can be further simplified to y = (1/2)x + 5.