This is similar to Problem 4 from your Section 2.7 worksheet.

For each description, select the equation in point-slope form that defines such a line.

a) The line through $(11,14)$ with a slope of $8$.
$y-14=8 x - 11$
$y-14=8 (x-11)$
$y-11 = 8 (x-14)$
$y+14 = 8 (x + 11)$

b) The line through $\left(\frac{2}{3},\frac{4}{9}\right)$ with a slope of $-7$.
$y-\frac{4}{9} = -7 \left(x - \frac{2}{3}\right)$
$y-\frac{4}{9} = 7 \left(x - \frac{2}{3}\right)$
$y-\frac{4}{9} = -7 x - \frac{2}{3}$
$y-\frac{2}{3} = -7 \left(x - \frac{4}{9}\right)$