The image shows a line on a graph with the point $(-1, 1)$ labeled, and you are asked to write the point-slope form of the line equation using this point.

The point-slope form of a line is given by:

$y - y_1 = m(x - x_1)$

Where:

• $(x_1, y_1)$ is the known point on the line.
• $m$ is the slope of the line.

From the image:

• The slope $m$ is given as $-\frac{3}{1}$ (which simplifies to $-3$).
• The point $(-1, 1)$ is labeled.

Using these values, the point-slope form of the line is:

$y - 1 = -3(x + 1)$

This is the equation of the line in point-slope form based on the graph.

Here are 5 related questions to expand your understanding:

1. How would you convert the point-slope form to slope-intercept form?
2. What happens to the graph if the slope is positive instead of negative?
3. How can you determine the slope of a line just by looking at the graph?
4. How do you find the y-intercept from the point-slope equation?
5. How would the equation change if you used a different point on the line?

Tip: Always remember to adjust the signs when substituting points into the point-slope form equation!