Question

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

Answer 1

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:

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