How do you find the slope of #y=4/5#?

1 Answer
Jul 18, 2016

This function is constant, so #"slope" = 0#.

Explanation:

graph{0x +4/5 [-10, 10, -5, 5]}

As we can see on the graph, #y# is always the same. It happens because there isn't a #x# present in the function #y = 4/5#.

Now you may think that it is true, but it isn't. #x# actually is present, but it remains hidden beucase #x*0# or any number multiplied by 0 equals 0.

So, when you see any function that #x# is not visually appearing, remember that it is there, but its #"slope" = 0#.

Hope you understand!