Question

Points A, B, C, and D are colinear.
C
IB В
W
A
What is the slope of CD in simplest form?

Answer 1

Answer:

1/2

Step-by-step explanation:

Look at the blue triangle. Start at point C and count the number of unit you move on the blue in the x-axis direction (2).

Now from that point move up on the blue triangle in the y-axis direction (1).

The slope =  (rise)/run which is (the movement on y)(the movement on X)

       Slope = 1/2

Answer 2

The slope of the line CD in the given diagram is 1/2.

What is the slope of a line passing through two points?

If a line between two points (x₁, y₁) and (x₂, y₂), then the slope of the line will be $m = \frac{(y_{2} - y_{1})}{(x_{2}-x_{1})}$

Given points A, B, C, D are colinear.

As these points are mentioned on the graph, we can take the coordinate any point as reference and then calculate the other point easily from the graph.

Here, the slope of any part of the line AD will be equal.

Let, the coordinate of point C is (x, y).

Therefore, as per the diagram, the coordinate of the point D is

$(x + 2, y + 1)$.

Now, the slope of the line CD is(m)

$= \frac{y+1 - y}{x+2-x} = \frac{1}{2}$

Learn more about the slope of a line here: https://brainly.com/question/27897581

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