For this case we have that the equation of the straight line in its generic form is given by:
![y = mx + b](https://img.qammunity.org/2019/formulas/mathematics/high-school/i6zw0h9pe9ud2am0fso5etqxn9ng1dt2x4.png)
Where,
- m: slope of the line
- b: intersection with the vertical axis.
We have then for this case:
![m = -3\\b = 5](https://img.qammunity.org/2019/formulas/mathematics/high-school/u71i2donzq8v8d0dyjvy1vpzo7n6751wfw.png)
Substituting values we have:
![y = -3x + 5](https://img.qammunity.org/2019/formulas/mathematics/high-school/5vkepszw2qa5le4xx6sg5yp4j4yv5hg1qi.png)
Answer:
The equation that represents the slope-intercept form of the line is:
![y = -3x + 5](https://img.qammunity.org/2019/formulas/mathematics/high-school/5vkepszw2qa5le4xx6sg5yp4j4yv5hg1qi.png)