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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

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Solution

Break Down the Problem

  1. Identify the components of the point-slope form.
  2. 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:
    yy1=m(xx1) y - y_1 = m(x - x_1)
    where m m is the slope and (x1,y1)(x_1, y_1) is a specific point on the line.

Analysis and Detail

  1. The statement provided in the question asserts that the point-slope form is written as y+y1=m(x+x1) y + y_1 = m(x + x_1) .
  2. Comparing this to the standard point-slope formula, we note that:
    • In the standard formula, it is yy1=m(xx1) y - y_1 = m(x - x_1) .
    • 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.

This problem has been solved

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