Answer: y = -3x + 10
Explanation:
Slope-Intercept is written as y = mx + c : m represents the slope and c represents the y-intercept.
On this graph, we see that the line crosses the y-axis when y = 10, meaning we can replace c with positive 10: y = mx + 10.
Now we need to find the slope. In order to this, we need to use a formula:
![m=(y_2 - y_1)/(x_2 - x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/9cywsr7q1onx0u7mkdxdus98va04stbe7z.png)
We will need to choose two coordinates for this, I will be using the coordinates (0, 10) and (1, 7). We can then plug the appropriate values in:
![m = (7 - 10)/(1 - 0) = (-3)/(1) = -3](https://img.qammunity.org/2023/formulas/mathematics/high-school/7ug17txxfvc3h2qds6xy890abuxh2xiye6.png)
Now we can replace the m in the equation with -3, so we will not get:
y = -3x + 10
Hope this helps.