Question

What is the slope of the line that passes through the points (-2,5) and (1,4)?

Answer 1

The slope `m=-1/3`.

Explanation:

The formula for slope `m` of a line connecting
two points `(x_1,y_1)` and `(x_2,y_2)`is `m=frac(color(blue)(y_2)-color(red)(y_1))(color(blue)(x_2)-color(red)(x_1))`.

`color(red)((x_1,y_1)=(-2,5))color(white)(aaa)color(blue)((x_2,y_2)=(1,4)`

`m=frac{color(blue)(4)-color(red)5}{color(blue)1-color(red)(-2)}=(-1)/3=-1/3`