Question

What is the slope of the line passing through the following points: #(-2, -4) , (-5, 2) #?

Answer 1

the equation of a line passing through 2 points `(x_1,y_1),(x_2,y_2)` is given as:

`y-y_1=m(x-x_1)`

`and m=(y_2-y_1)/(x_2-x_1)` called the slope of the line

therefore putting the given points in the above equation we end up getting:
`m=(2+4)/(-5+2)= -2`

`y+4=-2(x+2)`

`2x+y+8=0`