Question

Find the slope of the line through the pair of points.
(-1/4,1/3) and (-1/2,0)

A.3/4

B.-3/4

C.-4/3

D.4/3

Answer 1

slope = (y2 - y1) / (x2 - x1)
= (0 - 1/3) / ((-1/2) - (-1/4))
= (-1/3) / (-1/4) (both negative signs cancel out)
= 4/3

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&(-\frac{1}{4}\quad ,&\frac{1}{3})\quad &(-\frac{1}{2}\quad ,&0)
\end{array}
\\\quad \\

slope = m= \cfrac{rise}{run} \implies \cfrac{y_2-y_1}{x_2-x_1}\)