Question

what is the slope if the line AB shown in the simplest form

Answer 1

In order to find the slope of the given line, use the following formula:

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

where (x1,y1) and (x2,y2) are any two points of the line.

In this case, use the coordinates of points A and B:

A(-3,1) = (x1,y1)

B(3,3) = (x2,y2)

replace the previous values of the paramters into the formula for m:

$m=\frac{3-1}{3-(-3)}=\frac{2}{3+3}=\frac{2}{6}=\frac{1}{3}$

Hence, the slope of the given line AB is 1/3