Question

E

Answer 1

For this case we have that by definition, the point-slope equation of a line is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It's the slope

$(x_ {0}, y_ {0}):$ It is a point through which the line passes

According to the statement data we have:

$m = 5\\(x_ {0}, y_ {0}): (- 8,1)$

Substituting we have:

$y-1 = 5 (x - (- 8))$

By law of signs of multiplication we have to:

$- * - = +\\y-1 = 5 (x + 8)$

Answer:

The requested equation is: $y-1 = 5 (x + 8)$