Question

Points (0,6) and (-4,y) lie on the line with a slope of 5

Answer 1

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

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

According to the statement we have:

$(x_ {1}, y_ {1}) :( 0,6)\\(x_ {2}, y_ {2}): (- 4, y_{2})\\m = 5$

Substituting the values:

$5 = \frac {y_ {2} -6} {- 4-0}\\5 = \frac {y_ {2} -6} {- 4}\\5 * -4 = y_ {2} -6\\-20 = y_ {2} -6\\-20 + 6 = y_ {2}\\y_ {2} = - 14$

Thus, the value of $y_ {2} = - 14$

Answer:

$y_ {2} = - 14$