What is the equation in point slope form of the line that passes through the point (3, 1) and has a slope of –2?

Question

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Answer 1

The point-slope form of a line is given by the formula:

\[ y - y_1 = m(x - x_1) \]

Where:

• \( m \) is the slope of the line.
• \( (x_1, y_1) \) is a point on the line.

In your case, the point is \( (3, 1) \) and the slope \( m \) is \( -2 \).

Substituting these values into the formula, we get:

\[ y - 1 = -2(x - 3) \]

So, the equation in point-slope form is:

\[ y - 1 = -2(x - 3) \]

Responses to fill in:

• \( m = -2 \)
• \( (x_1, y_1) = (3, 1) \)

You can now place these responses into the point-slope formula as indicated.