Question

Find the values of k so that the slope of he line joining (5,k) and (6,k^2) is 30.

Answer 1

$\frac{{k }^{2} - k }{6 - 5} = 30$
${k}^{2} - k = 30$
${k}^{2} - k - 30 = 0$
$(k - 6)(k + 5) = 0$
$k = 6 \: or - 5$