Home > Algebra > Slope

How do you find the slope given (2, –5) and (2, 0)?

Answer 1

Nathan Axel

Its slope is #m=oo#

Given -

#(2, -5); (2,0)#

The equation of this line is #x=2# It is vertical to x-axis and parallel to y-axis. Hence its slope is #m=oo#

#x_1=2# #y_1=-5# #x_2=2# #y_2=0#

#m=(y_2-y_1)/(x_2-x_1)=(0-(-5))/(2-2)=5/0#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Nathan Axel

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: slope = (y2 - y1) / (x2 - x1). Using the given points (2, -5) and (2, 0): slope = (0 - (-5)) / (2 - 2) = (0 + 5) / 0 = 5 / 0. Since division by zero is undefined, the slope is undefined.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.