# How do you find the slope of the line (1/2, -1); (3, -3/4)?

Sep 1, 2015

${x}_{1} = \frac{1}{2}$
${y}_{1} = - 1$

${x}_{2} = 3$
${y}_{2} = \frac{- 3}{4}$

m = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

m = $\frac{\left(- \frac{3}{4}\right) - \left(- 1\right)}{3 - \left(\frac{1}{2}\right)}$

m = $\frac{\left(- \frac{3}{4}\right) - \left(- 1\right)}{3 - \left(\frac{1}{2}\right)}$

m = $\frac{\left(- \frac{3}{4}\right) + 1}{3 - \frac{1}{2}}$

m = $\frac{\frac{1}{4}}{\frac{5}{2}}$

m = $\frac{1}{4} \times \frac{2}{5} = \frac{1}{10}$