Question

Write an equation in point-slope form for the line through the given point with the given slope.

(10, –9); m = –2


y – 10 = –2(x + 9)


y + 9 = –2(x – 10)


y – 9 = –2(x – 10)


y – 9 = –2(x + 10)

Answer 1

To write the equation in point-slope form for a line through the point (10, -9) with a slope of \( m = -2 \), we use the point-slope form equation:

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

Here, \( (x_1, y_1) \) is the point (10, -9) and \( m = -2 \).

Substituting the values into the formula:

\[
y - (-9) = -2(x - 10)
\]

This simplifies to:

\[
y + 9 = -2(x - 10)
\]

So the correct equation in point-slope form is:

\[
y + 9 = -2(x - 10)
\]

Thus, the answer is:

**y + 9 = -2(x - 10)**.