Question

Use the graph to derive the equation of the line in slope-intercept form. (1 point) y= x-

Answer 1

To derive the equation of a line in slope-intercept form (y = mx + b), we need to identify the slope (m) and the y-intercept (b) from the graph.

1. **Finding the Slope (m)**: The slope is calculated as the change in y divided by the change in x (rise over run). Look for two distinct points on the line, for example, (x1, y1) and (x2, y2), and use the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

2. **Finding the Y-Intercept (b)**: This is the value of y when x is 0. Locate where the line crosses the y-axis.

3. **Creating the Equation**: Once you have the slope and y-intercept, substitute those values into the slope-intercept form equation:
\[
y = mx + b
\]

If you can provide more specific information about the graph, such as the coordinates of points or the behavior of the line, I could help derive the equation more accurately.