Question

Find the value of k if the line joining the points (3k,8) and (k,-3) has a grdient of 3

Answer 1

gradient means slope
we know, if two points (x1, y1) and (x2,y2) are given then,
$slope =\frac{y_2-y_1}{x_2-x_1}$
now,
$gradient = slope = 3 = \frac{-3-8}{k-3k}\\\\3=\frac{-11}{-2k}\\\\6k=11\\\\k=\frac{11}{6}$