The slope of the line AG can be written as

3 answers

To determine the slope of the line \( AG \), we need the coordinates of points \( A \) and \( G \). The slope \( m \) of the line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:

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

Please provide the coordinates of points \( A \) and \( G \), and I can help you calculate the slope.

g is (-1,-4) A is (-4 ,7)

To find the slope of the line \( AG \), we can use the coordinates of points \( A(-4, 7) \) and \( G(-1, -4) \).

Using the slope formula:

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

where \((x_1, y_1) = (-4, 7)\) and \((x_2, y_2) = (-1, -4)\), we can substitute these values in:

\[ m = \frac{-4 - 7}{-1 - (-4)} \]

Calculating the numerator and denominator:

\[ m = \frac{-11}{-1 + 4} = \frac{-11}{3} \]

Thus, the slope of the line \( AG \) is

\[ m = -\frac{11}{3}. \]