Answer:
![\boxed {\tt y=\frac{2}{5}x-2}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Ctt%20y%3D%5Cfrac%7B2%7D%7B5%7Dx-2%7D)
Step-by-step explanation:
If the slope and y-intercept is known, the equation of a line can be written using slope-intercept form.
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is the slope and b is the y-intercept.
We know that the slope is 2/5.
The y-intercept is (0,-2). For this form, we only need the y-coordinate, which is -2 in this case. Therefore, we can say the y-intercept is -2.
![m=2/5 \\b= -2 \\](https://tex.z-dn.net/?f=m%3D2%2F5%20%5C%5Cb%3D%20-2%20%5C%5C)
Substitute the values into the formula.
![y=2/5x+ (-2)](https://tex.z-dn.net/?f=y%3D2%2F5x%2B%20%28-2%29)
![y=2/5x-2](https://tex.z-dn.net/?f=y%3D2%2F5x-2)
The equation of the line is y=2/5x-2