![\tt Step-by-step~explanation:](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1yvv69zlhkbxhn4v3cihgxbj4z92s81wn4.png)
To solve, we need to write this in slope-intercept form.
![\tt Step~1:](https://img.qammunity.org/2021/formulas/mathematics/high-school/td6u35j3gyzkyxq2z12ex68fup5boe9d1z.png)
Slope: 3
Point: (1,2)
Slope-intercept form:
y = mx + b (y = y value, m = slope, x = x value, b = y-intercept)
y = 2, m = 3, x = 2, b = ?
We have to solve for b. To do so, we plug in all these values into our formula. Move all values not equal to b to the left of the equation.
![\tt 2 = 3(1)+b\\2=3+b\\2-3=3-3+b\\-1=b](https://img.qammunity.org/2021/formulas/mathematics/high-school/cr0on8n0qii6ifalmgbej01mu6ksagi1vb.png)
![\tt Step~2:](https://img.qammunity.org/2021/formulas/mathematics/high-school/42ystigthi5jraeckxqu1502a0bp41zkf4.png)
Now that we know what b is, we can plug it into our equation. Plug in only the value of the slope and the y intercept.
y = mx + b
y = 3x - 1
![\large\boxed{\tt Our~final~answer:~y=3x-1}](https://img.qammunity.org/2021/formulas/mathematics/high-school/5l3lt4c4gvufs7im0hwewocc5y74r3jd9a.png)