Question

What is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1)?

y + 1 = 6/7 (x+4)
y + 4 = 11/6 (x+1)
y − 1 = 6/11 (x−4)
y + 1 = 6/11 (x+4)

Answer 1

The point-slope form:

`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 (7, 5) and (-4, -1). Substitute:

`m=(-1-5)/(-4-7)=(-6)/(-11)=(6)/(11)`

`y-(-1)=(6)/(11)(x-(-4))\\\\\boxed{y+1=(6)/(11)(x+4)}`