Question

Write an equation in the point slope form of the line that passes through point (-2,1) and has a slope of 1/4.

the equation is y-_=_(x-_)

Answer 1

y - 1 = ¹/₄(x + 2)

Explanation:

An equation in the point slope form of the line that passes through point (x₁,y₁) and has a slope of m, is: y - y₁ = m(x - x₁)

m = ¹/₄

(-2, 1) ⇒ x₁ = -2, y₁ = 1

Therefore, the equation in the point slope form of the line that passes through point (-2,1) and has a slope of ¹/₄ is:

y - 1 = ¹/₄(x - (-2))

y - 1 = ¹/₄(x + 2)