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Given the lines, AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not put spaces in your answer.


A(0,-1)

B(5,3)

C(2,3)

D(6,2)

Respuesta :

LBecca

Answer:

The slope is = -1/4

Step-by-step explanation:

We are looking for the slope of the line CD. You are given the coordinates for each point as follows:

A(0,-1)     B(5,3)    C(2,3)   D(6,2)

To find the slope of a straight line, you use the formula:

slope (m) = (y2 - y1)/(x2 - x1)

In other words the slope is the "rise over run":

  • rise (change in y) over the run (change in x) between two coordinates of the points:

Remember: the coordinates of a point are (x;y). Choose one of the points to be point 1 and the other to be point 2. I would suggest that you follow the order they have given you ie. CD:

So if our points are C (2; 3) and D (6, 2) we can say point C is point 1 and point D is point 2. Plug into the formula:  

slope (m) = (y2-y1)/(x2-x1)

y1  = 3

y2 = 2

x1  = 2

x2 = 6

∴ m = (2-3)/(6-2)

      = -1/4

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