Question

Point slope form. (9,-2) and (4,2)

Answer 1

Explanation:

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

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

We have the points (9, -2) and (4, 2).

Substitute:

`m=(2-(-2))/(4-9)=(2+2)/(-5)=-(4)/(5)`

Put the value of a slope and coordinates of first or second point to the equation of a line:

`(9,\ -2),\ m=-(4)/(5)\\\\y-(-2)=-(4)/(5)(x-9)\\\\\boxed{y+2=-(4)/(5)(x-9)}\\\\(4,\ 2),\ m=-(4)/(5)\\\\y-2=-(4)/(5)(x-4)}`