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