Question

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. the coordinate is (-3,6) and the other one is (7,-4).What is the rate of change of `y` with respect to `x` for this line?\frac{3}{7} \frac{2}{3} -\frac{7}{5} -\frac{5}{7}

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the rate of change of y with respect to x, we can use the slope formula:

\[m = \frac{y_2 - y_1}{x_2 - x_1}\]
Using the coordinates (-3, 6) and (7, -4), we have:
\[m = \frac{(-4) - 6}{7 - (-3)} = \frac{-4 - 6}{7 + 3} = \frac{-10}{10} = -1\]
Therefore, the rate of change of y with respect to x for this line is -1.

Answer 2

these are the answers 3/7 2/3 -7/5 -5/7

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the error. Let's calculate the rate of change correctly this time.

Using the slope formula, we have:
\[m = \frac{y_2 - y_1}{x_2 - x_1}\]
Using the coordinates (-3, 6) and (7, -4), we have:
\[m = \frac{(-4) - 6}{7 - (-3)} = \frac{-10}{10} = -1\]
Therefore, the rate of change of y with respect to x for this line is -1.