To determine the equation of the line in slope-intercept form ($y = mx + b$), we need two key pieces of information:

1. The slope ($m$)
2. The y-intercept ($b$)

Steps:

1. Identify two points on the line from the graph. For example:

   • Point 1: ($x_1, y_1$)
   • Point 2: ($x_2, y_2$)

2. Calculate the slope using the formula:
   $m = \frac{y_2 - y_1}{x_2 - x_1}$

3. Substitute $m$ and a point ($x, y$) into the slope-intercept form to solve for $b$.

4. Write the final equation in slope-intercept form: $y = mx + b$.

Could you upload the graph or provide the coordinates of two points on the line? This will allow for an accurate equation. 😊

Expanding Your Understanding:

1. What is slope-intercept form, and how is it used?
2. How do you calculate the slope from a graph?
3. What does the y-intercept represent?
4. How can you confirm if an equation matches a line on a graph?
5. How can fractions or decimals affect the slope?

Tip: Remember that the slope is a ratio of the "rise" (change in $y$) to the "run" (change in $x$).