Question

choose the point-slope form of the equation below that represents the line that passes through the points (-3,2) and (2,1)

Answer 1

The point-slope form:

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

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (-3, 2) and (2, 1). Substitute:

`m=(1-2)/(2-(-3))=(-1)/(5)=-(1)/(5)\\\\y-2=-(1)/(5)(x-(-3))\\\\\boxed{y-2=-(1)/(5)(x+3)}\\\\or\\\\\boxed{y-1=-(1)/(5)(x-2)}`