Answer:
[tex]y=-\frac{2}{5}x-\frac{1}{5}[/tex]
Step-by-step explanation:
The formula for a line in slope-intercept form is y=mx+b.
Two parallel lines have the same slope. Therefore, m should be the same for both equations. [tex]m=-\frac{2}{5}[/tex]
As of now, we know that the equation must be [tex]y=-\frac{2}{5}x+b[/tex]. We must find the b value -- in order to find it, we will use the point given. We are told that the line must pass through the point (2,-1), where y=-1 when x = 2. Plug in those values into the equation and solve for b.
[tex]y=-\frac{2}{5}x+b\\-1=-\frac{2}{5}(2)+b\\-1=-\frac{4}{5}+b\\b = -\frac{1}{5}[/tex]
Therefore, the final equation is [tex]y=-\frac{2}{5}x-\frac{1}{5}[/tex]
