What is the equation in slope-intercept form of a line that is perpendicular to y = 1/4 x - 1 and passes through the paint (4, 1) ?

Find the slope of the perpendicular line

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

             ⇒  if the slope of this line =  ¹/₄

                  then the slope of the perpendicular line (m) = - 4

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                               ⇒  y - 1 =  - 4 (x - 4)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                           since   y - 1 = - 4 (x - 4)

∴ the slope-intercept equation of the perpendicular line is  y =  - 4 x + 17.

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range