For this case we have that by definition, the equation of the line in the point-slope form 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 that belongs to the line.
According to the statement data we have:
[tex]m = 3\\(x_ {0}, y_ {0}) :( 2, -5)[/tex]
Replacing the data we have:
[tex]y - (- 5) = 3 (x-2)\\y + 5 = 3 (x-2)[/tex]
Answer:
[tex]y + 5 = 3 (x-2)[/tex]
