Question

what is the slope of the the line passing through (-3,5) and (5,-3)?A- slope = -1B- slope =0C-slope =1D-no slope

Answer 1

We are given the following two points

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

The slope of the line is given by

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

Let us substitute the given points into the above slope formula

`m=(-3-5)/(5-(-3))=(-8)/(5+3)=(-8)/(8)=-1`

Therefore, the slope of the line that passes through the points (-3,5) and (5,-3) is -1

The correct option is A.