Question

How do you find the slope given (-2, 3) and (3, -2)?

Answer 1

slope is -1

Explanation:

You use the definition of "slope": `(Deltay)/(Deltax)`

`(color(blue)(x_1),color(blue)(y_1)) = (-2,3)`

`(color(red)(x_2),color(red)(y_2))=(3,-2)`

`color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))`

`color(green)m =(color(red)(-2)-color(blue)(3))/(color(red)(3)-color(blue)((-2)))=(-5)/5=-1`