Question

The points (4, -17) and (8, r) lie on a line with slope 5. Find the missing coordinate r.

Answer 1

The missing coordinate, 'r', is 3

Explanation:

The given parameters of the two points are;

The coordinates of the given points = (4, -17) and (8, r)

The slope of the line on which the two points lie, m = 5

The formula for finding the slope of a line is given as follows;

`Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))`

Therefore, we have;

`m =5 = (r-(-17))/(8-4) = (r + 17)/(4)`

`5 = (r + 17)/(4)`

5 × 4 = r + 17

r = 20 - 17 = 3

r = 3