Question

The slope of the line that passes through (3,4) and (-5,0) is

Answer 1

We are given the following two points

`(3,4)\: \text{and}\: (-5,0)`

Let us find the slope of the line that passes through these points

The slope of a line is given by

`m=(y_2−y_1)/( x_2−x_1)`
`\text{where}\: (x_1,y_1)=(3,4)\: \text{and}\: (x_2,y_2)=(-5,0)`

Let us substitute the given points into the above slope formula

`m=(y_2−y_1)/(x_2−x_1)=(0-4)/(-5-3)=(-4)/(-8)=(1)/(2)`

Therefore, the slope of the line is 1/2