For this case we have that by definition, the equation of a line of 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 data of the statement we have to:
[tex]m = - \frac {7} {5}\\(x_ {0}, y_ {0}) :( 5,4)[/tex]
Substituting in the equation we have:
[tex]y-4 = - \frac {7} {5} (x-5)[/tex]
Answer:
[tex]y-4 = - \frac {7} {5} (x-5)[/tex]
