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A line has a slope of

–
10 and passes through the point (3,3). What is its equation in point-slope form?

1 answer

To find the equation of a line in point-slope form, we use the formula:

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

where \( m \) is the slope and \( (x_1, y_1) \) is a point on the line.

Given:

  • Slope (\( m \)) = -10
  • Point (\( x_1, y_1 \)) = (3, 3)

Substituting these values into the point-slope form equation:

\[ y - 3 = -10(x - 3) \]

So the equation of the line in point-slope form is:

\[ y - 3 = -10(x - 3) \]