Question

Enter an equation in point-slope form for the line,(6,9) and (7,2) is on the line.

Answer 1

The slope of the line that passes through points (x1, y1) and (x2, y2) is computed as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

Replacing with points (6,9) and (7,2):

$m=\frac{2-9}{7-6}=-7$

The point-slope form of a line is:

$y-y_1=m(x-x_1)$

Replacing with m = -7 and point (6,9):

y - 9 = -7(x - 6)