We are given the following two points
[tex](3,4)\: \text{and}\: (-5,0)[/tex]Let us find the slope of the line that passes through these points
The slope of a line is given by
[tex]m=\frac{y_2−y_1}{ x_2−x_1}[/tex][tex]\text{where}\: (x_1,y_1)=(3,4)\: \text{and}\: (x_2,y_2)=(-5,0)[/tex]Let us substitute the given points into the above slope formula
[tex]m=\frac{y_2−y_1}{x_2−x_1}=\frac{0-4}{-5-3}=\frac{-4}{-8}=\frac{1}{2}[/tex]Therefore, the slope of the line is 1/2
