Question

Write the slope-intercept form of the equation that passes through the point (4, -2) and is perpendicular to the line y =4x - 1

Answer 1

Answer:

        y = -¹/₄x - 1

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 4x - 2   ⇒   m₁=4

4×m₂ = -1        ⇒    m₂ = -¹/₄

The line y=-¹/₄x+b passes through point (4, -2) so the equation:

-2 = -¹/₄×4 + b must be true

-2 = -1 + b

b = -1

Therefore equation in  slope-intercept form:

                                                y = -¹/₄x - 1