line ab contains points a(4, 5) and b(9, 7). what is the slope of \\(\\overleftrightarrow{ab}\\)?\n\\(\\circ…

line ab contains points a(4, 5) and b(9, 7). what is the slope of \\(\\overleftrightarrow{ab}\\)?\n\\(\\circ -\\frac{5}{2}\\)\n\\(\\circ -\\frac{2}{5}\\)\n\\(\\circ \\frac{2}{5}\\)\n\\(\\circ \\frac{5}{2}\\)

line ab contains points a(4, 5) and b(9, 7). what is the slope of \\(\\overleftrightarrow{ab}\\)?\n\\(\\circ -\\frac{5}{2}\\)\n\\(\\circ -\\frac{2}{5}\\)\n\\(\\circ \\frac{2}{5}\\)\n\\(\\circ \\frac{5}{2}\\)

Answer

Explanation:

Step1: Recall slope formula

The slope ( m ) between two points ( (x_1, y_1) ) and ( (x_2, y_2) ) is given by ( m=\frac{y_2 - y_1}{x_2 - x_1} ).

Step2: Identify coordinates

For points ( A(4, 5) ) and ( B(9, 7) ), we have ( x_1 = 4 ), ( y_1 = 5 ), ( x_2 = 9 ), ( y_2 = 7 ).

Step3: Substitute into formula

Substitute the values into the slope formula: ( m=\frac{7 - 5}{9 - 4}=\frac{2}{5} ).

Answer:

(\frac{2}{5}) (corresponding to the option "C. (\frac{2}{5})" if we assume the options are labeled A, B, C, D in order, but based on the given options, the correct one is the third option with value (\frac{2}{5}))