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

`\large\boxed{y-1=-(1)/(5)(x-2)}`

Explanation:

The point-slope form of a line:

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

m - slope

(x₁, y₁) - point

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-1=-(1)/(5)(x-2)`