Question

Which equation is a point slope form equation

Answer 1

Answer:

y + 1 = - $\frac{2}{3}$(x - 4)

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(4, - 1) and (x₂, y₂ ) = B(-2, 3)

m = $\frac{3+1}{-2-4}$ = $\frac{4}{-6}$ = - $\frac{2}{3}$

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

Using (4, - 1), then

y - (- 1) = - $\frac{2}{3}$(x - 4), that is

y + 1 = - $\frac{2}{3}$(x - 4)