Answer:
The equation in point-slope form for the line through the given point with the given slope is:

Explanation:
The point slope form of a line is given by:

Here m is the slope and (x1,y1) are the coordinates of the point through which the line passes.
Given
m = -1/4 and
(x1,y1) = (3,-4)
Putting the values in the point-slope form of line

Hence,
The equation in point-slope form for the line through the given point with the given slope is:
