Hello!
The answer is:
The equation in slope-intercept form is:
![y=3x-13](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v4ovqxq7qady6muwmk3zgctadgdii80klp.png)
Why?
To solve the problem and find equation in slope-intercept form of the line, we need to use the following formula:
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
We are given the slope of the line, so, rewriting we have:
![y=3x+b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qj3529ays605plhgrmi41dbww3j5v3qasd.png)
Then, to find "b" we need to substitute the given point into the equation, so, substituting we have:
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
![-1=3*(4)+b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/doi9om997pf0tarmcgd9l5bzhcqtbsandt.png)
![-1=12+b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y0pxjdypjifyraxseuks6nc4i8mol8vsvt.png)
![b=-1-12=-13](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m2wv1lqouel0vm9ifguj36b3rzqwbcuds7.png)
Therefore, writing the equation of the line, we have:
![y=3x-13](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v4ovqxq7qady6muwmk3zgctadgdii80klp.png)
Have a nice day!