How do you find the slope given (4,5) and (-6,5)?

1 Answer
Apr 8, 2016

#0#

Explanation:

Slope is given by #"rise"/"run"#, or the change in the #y# coordinate divided by the change in #x#. Mathematically this is written as

#(deltay)/(deltax)#

You calculate it by taking the second coordinate and subtracting the first, so

#(deltay)/(deltax) = (y_2 - y_1)/(x_2 - x_1)#

# = (5 - 5)/(- 6 - 4) = 0/-10 = 0#

You could also recognise that there is no actual increase in the #y# value between the two points, so it must be a flat, horizontal line, and so the gradient is just #0#.