Question

Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

– negative StartFraction 7 Over 3 EndFraction
– negative StartFraction 9 Over 7 EndFraction
– negative StartFraction 7 Over 9 EndFraction
– negative StartFraction 3 Over 7 EndFraction

Answer 1

To find the slope of the line containing the points G(–2, 6) and H(5, –3), we use the formula for the slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

In this case, let:
- \( (x_1, y_1) = (-2, 6) \)
- \( (x_2, y_2) = (5, -3) \)

Substituting these values into the slope formula:

\[
m = \frac{(-3) - (6)}{(5) - (-2)} = \frac{-3 - 6}{5 + 2} = \frac{-9}{7}
\]

Thus, the slope of line GH is:

\[
m = -\frac{9}{7}
\]

So the correct answer is **negative StartFraction 9 Over 7 EndFraction**.