a line contains points ( m(1,3) ) and ( n(5,0) ). what is the slope of ( overline{mn} )?\n( -\frac{4}{3}…

a line contains points ( m(1,3) ) and ( n(5,0) ). what is the slope of ( overline{mn} )?\n( -\frac{4}{3} )\n( -\frac{3}{4} )\n( \frac{3}{4} )\n( \frac{4}{3} )

a line contains points ( m(1,3) ) and ( n(5,0) ). what is the slope of ( overline{mn} )?\n( -\frac{4}{3} )\n( -\frac{3}{4} )\n( \frac{3}{4} )\n( \frac{4}{3} )

Answer

Explanation:

Step1: Identify the formula for slope

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

Step2: Assign values to (x_1,y_1,x_2,y_2)

Here, (x_1 = 1,y_1=3,x_2 = 5,y_2 = 0).

Step3: Substitute values into the formula

[ \begin{align*} m&=\frac{0 - 3}{5 - 1}\ &=\frac{-3}{4} \end{align*} ]

Answer:

(-\frac{3}{4}) (corresponding to the second option)