Answer:
The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]
Step-by-step explanation:
The point slope form of a line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
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
[tex]y-(-4) = -\frac{1}{4}(x-3)\\y+4 = -\frac{1}{4}(x-3)[/tex]
Hence,
The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]
