Final answer:
To write the equation of a line using point-slope form, we need the coordinates of a point on the line and the slope of the line. In this case, the point is (17,-7) and the slope is -1/2.
Step-by-step explanation:
To write the equation of a line using point-slope form, we need the coordinates of a point on the line and the slope of the line. In this case, the point is (17,-7) and the slope is -1/2.
The equation of a line in point-slope form is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Substituting the values, we get y - (-7) = -1/2(x - 17). Simplifying further, we have y + 7 = -1/2x + 17/2. Rearranging the equation, we find the equation of the line: y = -1/2x + 17/2 - 7, which can be simplified to y = -1/2x + 3/2.