Using the slope​ formula, find the slope of the line through the given points.

Question

left parenthesis 7 comma 4 right parenthesis

and left parenthesis 4 comma 1 right parenthesis
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Part 1
What is the slope of the​ line? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The slope of the line is enter your response here
.
​(Type an integer or a simplified​ fraction.)
B.
The slope of the line is undefined

Answer 1

To find the slope of the line through the given points (7,4) and (4,1), we can represent the points as (x₁, y₁) and (x₂, y₂) and use the slope formula:

m = (y₂ - y₁) / (x₂ - x₁)

Plugging in the values, we get:

m = (1 - 4) / (4 - 7)
= -3 / -3
= 1

Therefore, the slope of the line is 1.

So the correct choice is:
A. The slope of the line is 1.