The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. this line has points at (-7, 6) and (7, -4)

Question

a. \frac{3}{7}
b. \frac{2}{3}
c. -\frac{7}{5}
d. -\frac{5}{7}

Answer 1

To find the slope of the line that passes through the two points \((-7, 6)\) and \((7, -4)\), we can use the slope formula:

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

Where \((x_1, y_1) = (-7, 6)\) and \((x_2, y_2) = (7, -4)\).

Substituting the coordinates into the formula gives:

\[ m = \frac{-4 - 6}{7 - (-7)} = \frac{-4 - 6}{7 + 7} = \frac{-10}{14} = -\frac{5}{7} \]

Therefore, the slope of the line is \(-\frac{5}{7}\).

The correct answer is:

d. -\frac{5}{7}