Question

what is the slope of a line that passes through the pair of points? (5,2) and (7,8) the answers are -3,3,-1,and 1

Answer 1

y=mx+b where m=slope=(y2-y1)/(x2-x1). In this case:

m=(8-2)/(7-5)=6/2=3

Answer 2

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 5}}\quad ,&{{ 2}})\quad % (c,d) &({{ 7}}\quad ,&{{ 8}}) \end{array} \\\quad \\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}$

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