Question
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
Question content area bottom
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
left parenthesis 7 comma 4 right parenthesis
and left parenthesis 4 comma 1 right parenthesis
Question content area bottom
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
Answers
GPT 3.5
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.
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.