Question

What is the equation in point slope form of the line that passes through the point

Answer 1

Point-slope form:  y - y₁ = m(x - x₁)

[m is the slope, x₁ and y₁ ---> (x₁, y₁) is the point]

Since you know:

m = 5

(2, 6) = (x₁, y₁)       Substitute/plug in the values into the equation

y - y₁ = m(x - x₁)

y - 6 = 5(x - 2)   The 1st option is your answer