Question

Which equation is a point slope form equation for line AB?

Answer 1

Answer:

option 1

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = A(1, 6) and (x₂, y₂ ) = B(5, - 2)

m = $\frac{-2-6}{5-1}$ = $\frac{-8}{4}$ = - 2

Use either of the 2 points for (a, b)

Using (a, b) = (5, - 2) , then

y - (- 2) = - 2(x - 5) , that is

y + 2 = - 2(x - 5)