Question

Find the equation of a line perpendicular to y=x−3 that contains the point (2,1). Write the equation in slope-intercept form.

Answer 1

perpendicular gradient (m) = -1
slope intercept form = y - y1 = m(x - x1)

y - 1 = -1 (x -2)
y - 1 = -x + 2
y = -x + 3