domain and range

Question

how would i find the equation of the line that is perpendicular to the line y = 4x - 3 through the point (4, -1)

Answer 1

The slope of a line perpendicular to a given line is

m_p = -1/m

Where m is the slope of the original line.

So the equation of the perpendicular line is

y-y₁ = m_p(x-x₁) where (x₁,y₁) = (4,-1) in this case.

I'll leave you to do the final calculations to solve for y.