Questions: y 10 8 6 4 2 x -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10

Solution Steps

To find the slope of the line, we need to identify two points on the line. From the graph, we can see that the line passes through the points (-8, 8) and (8, -8).

The formula for the slope (m) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Using the points (-8, 8) and (8, -8): \[ m = \frac{-8 - 8}{8 - (-8)} = \frac{-16}{16} = -1 \]

The y-intercept (b) is the point where the line crosses the y-axis. From the graph, we can see that the line crosses the y-axis at (0, 0).

Thus, the y-intercept (b) is 0.

Using the slope-intercept form of the equation of a line, which is: \[ y = mx + b \]

Substituting the slope (m = -1) and the y-intercept (b = 0): \[ y = -1x + 0 \] \[ y = -x \]

Final Answer