perpendicular to y=5/9x+4 passing through (0,-4)

Question

perpendicular to y=5/9x+4 passing through (0,-4)

Answer 1

Perpendicular lines have negative reciprocal slopes.  Therefore the line you are looking for will have a slope of -9/5.  Further, going through (0,-4) means the y-intercept is -4

 

 slope intercept form equation y = mx + b you can plug in m = -9/5  and b = -4

 

Thus, y = -9/5 x + -4   or y = -9/5 x - 4 is an equation meeting your requirements.