Answer:
[tex]\boxed {\tt y=\frac{2}{5}x-2}[/tex]
Step-by-step explanation:
If the slope and y-intercept is known, the equation of a line can be written using slope-intercept form.
[tex]y=mx+b[/tex]
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.
[tex]m=2/5 \\b= -2 \\[/tex]
Substitute the values into the formula.
[tex]y=2/5x+ (-2)[/tex]
[tex]y=2/5x-2[/tex]
The equation of the line is y=2/5x-2
