find the slope of a line perpendicular to y=-2/5x+4/5

Question

anonymous · Answer

please helpppp

lena772 · Answer

Perpendicular lines are a bit more complicated. If you visualize a line with positive slope (so it's an increasing line), then the perpendicular line must have negative slope (because it will be a decreasing line). So perpendicular slopes have opposite signs. The other "opposite" thing with perpendicular slopes is that their values are reciprocals; that is, you take the one slope value, and flip it upside down. Put this together with the sign change, and you get that the slope of the perpendicular line is the "negative reciprocal" of the slope of the original line

lena772 · Answer

So the slope would be 5/2 or 2.5 :)