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

Question

(10, –9); m = –2

y – 9 = –2(x – 10)

y + 9 = –2(x – 10)

y – 10 = –2(x + 9)

y – 9 = –2(x + 10)

Answer 1

To write an equation in point-slope form for a line with a given point \((x_1, y_1) = (10, -9)\) and a slope \(m = -2\), you will use the point-slope formula:

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

Substituting \(x_1 = 10\), \(y_1 = -9\), and \(m = -2\) into the formula:

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

This simplifies to:

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

Therefore, the correct equation in point-slope form is:

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

Thus, the answer is:

y + 9 = –2(x – 10)