Question

Let a be a real number. find the slope of the line containing (4-2a,2) and (29-2a, -3)

Answer 1

To find the slope of the line containing the points (4-2a, 2) and (29-2a, -3), i can use the slope formula:

`m = (y_2 - y_1)/(x_2 - x_1)`

where

`(x_1, y_1)`

and

`(x_2, y_2)`

are the coordinates of the two points.

Substituting the given values, i get:

`m = (-3 - 2)/(29 - 4) = (-5)/(25 - 4a) = (-1)/(5 - a)`

Therefore, the slope of the line is

`\boxed{(-1)/(5 - a)}`