For this case we have that by definition, the slope of the line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
According to the statement we have:
[tex](x_ {1}, y_ {1}) :( 0,6)\\(x_ {2}, y_ {2}): (- 4, y_{2})\\m = 5[/tex]
Substituting the values:
[tex]5 = \frac {y_ {2} -6} {- 4-0}\\5 = \frac {y_ {2} -6} {- 4}\\5 * -4 = y_ {2} -6\\-20 = y_ {2} -6\\-20 + 6 = y_ {2}\\y_ {2} = - 14[/tex]
Thus, the value of [tex]y_ {2} = - 14[/tex]
Answer:
[tex]y_ {2} = - 14[/tex]
