Question

A line passes through the (1, -6) and has a slope of 5. write an equation for this line

Answer 1

The point-slope form of the equation for a line with slope m through point (h, k) is ...
  y = m(x -h) +k

Your line's equation can be written as
  y = 5(x -1) -6

This can be simplified to slope-intercept form
  y = 5x -11
or standard form
  5x -y = 11