For this case we have that by definition, the point-slope equation of a line is given by:
[tex]y-y_ {0} = m (x-x_ {0})[/tex]
Where:
m: It is the slope of the line
[tex](x_ {0}, y_ {0}):[/tex] It is a point through which the line passes
We have as data that:
[tex](x_ {0}, y_ {0}) = (1, -4)[/tex]
Substituting:
[tex]y - (- 4) = m (x-1)\\y + 4 = m (x-1)[/tex]
All that remains is to replace the value of the slope.
Answer:
[tex]y + 4 = m (x-1)[/tex]
