The point-slope form of a line is y + y1 = m(x + x1), where m is the slope and (x1, y1) is a point on the line.A.TrueB.False
Question
The point-slope form of a line is
y + y1 = m(x + x1)
,
where m
is the slope and (x1, y1)
is a point on the line.
A. True
B. False
Solution
Break Down the Problem
- Identify the components of the point-slope form.
- Determine whether the given statement correctly describes the point-slope form of a line.
Relevant Concepts
- The point-slope form of a line is defined as:
where is the slope and is a specific point on the line.
Analysis and Detail
- The statement provided in the question asserts that the point-slope form is written as .
- Comparing this to the standard point-slope formula, we note that:
- In the standard formula, it is .
- The equation provided in the question uses addition rather than subtraction.
Verify and Summarize
- Since the statement does not match the established point-slope form, we can conclude that it is incorrect.
Final Answer
The statement is B. False.
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