Question

Which of the following are point-slope equations of the line going through (-5,6) and (1,1)?

Answer 1

`A.\ y-6=-(5)/(6)(x+5)\\\\B.\ y-1=-(5)/(6)(x-1)`

Explanation:

The point-slope form of an equation 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 (-5, 6) and (1, 1). Substitute:

`m=(1-6)/(1-(-5))=(-5)/(6)\\\\\text{For point (-5, 6):}\\\\y-6=-(5)/(6)(x-(-5))\\\\y-6=-(5)/(6)(x+5)`

`\text{For point (1, 1):}\\\\y-1=-(5)/(6)(x-1)`