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's the slope
[tex](x_ {0}, y_ {0}):[/tex] It is a point through which the line passes
According to the statement data we have:
[tex]m = 5\\(x_ {0}, y_ {0}): (- 8,1)[/tex]
Substituting we have:
[tex]y-1 = 5 (x - (- 8))[/tex]
By law of signs of multiplication we have to:
[tex]- * - = +\\y-1 = 5 (x + 8)[/tex]
Answer:
The requested equation is: [tex]y-1 = 5 (x + 8)[/tex]