Which is an equation in point-slope form for the line that passes through the points (−1,4) and (3,−4) ?

y+4=−2(x−3)
y−4=2(x+3)
y+4=2(x−3)
y−3=−2(x+4)

We know that Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (-1 , 4) and (3 , -4)

here x₁ = -1 and x₂ = 3 and y₁ = 4 and y₂ = -4

⇒

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

y - y₀ = m(x - x₀)

Here the line passes through the point (3 , -4)

x₀ = 3 and y₀ = -4 and we found m = -2

Equation in Point slope form : y + 4 = -2(x - 3)

First Option is the Answer

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: