How do you find the slope of (-3/4 , 2/3) , (-3/4, 5/3)?

Question

Genesis Allen · Accepted Answer

The slope is undefined. The points represent a vertical line.

#m=(y_2-y_1)/(x_2-x_1)#

#m# is the slope, #(x_1,y_1)# is one point, and #(x_2,y_2)# is the other point.

I'm going to use #(-3/4,2/3)# as Point 1, and #(-3/4,5/3)# as Point 2. You can reverse the points. You will get the same result.

#m=(5/3-2/3)/(-3/4-(-3/4))#

#m=(3/3)/(0)#

The slope is undefined. The points represent a vertical line.

Isaiah Anthony · Answer

undefined To find the slope of the line passing through the points (-3/4, 2/3) and (-3/4, 5/3), you can use the slope formula:

slope = (change in y) / (change in x)

1. Calculate the change in y by subtracting the y-coordinate of the first point from the y-coordinate of the second point:
   change in y = (5/3) - (2/3) = 3/3 = 1

2. Calculate the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point:
   Since both points have the same x-coordinate (-3/4), the change in x is 0.

3. Use the slope formula to find the slope:
   slope = (change in y) / (change in x) = 1 / 0

Since the change in x is 0, the slope is undefined (division by zero is undefined). This means the line is vertical.