Question

What is the slope of the line passing through the following points: `(-2, 5) , (1,2)`?

Answer 1

Slope: `(-1)`

Explanation:

Given two points`(x_1,y_1)` and `(x_2,y_2)`
the slope of a line joining the two points is
`color(white)("XXX")m= (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

For `(x_1,y_1)=(-2,5)` and `(x_2,y_2)=(1,2)` this becomes
`color(white)("XXX")m=(2-5)/(1-(-2)) =(-3)/(3) = -1`