Question

What is the slope of P=(4.5,-1) Q=(5.3,2).

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) P&({{ 4.5}}\quad ,&{{ -1}})\quad % (c,d) Q&({{ 5.3}}\quad ,&{{ 2}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-(-1)}{5.3-4.5}\implies \cfrac{2+1}{5.3-4.5} \\\\\\ \cfrac{3}{0.8}\implies \cfrac{\frac{3}{1}}{\frac{08}{10}}\implies \cfrac{\frac{3}{1}}{\frac{4}{5}}\implies \cfrac{3}{1}\cdot \cfrac{5}{4}\implies \cfrac{15}{4}\implies 3\frac{3}{4}$

Answer 2

The slope of pq is 0.8/3