Answer:
[tex]y = -\frac{2}{5}x[/tex]
Step-by-step explanation:
We already know the slope of the line: -2/5. So, we can make an equation like this:
[tex]y =- \frac{2}{5}x + b[/tex]
In the question it gives us both x and y in the point (-5,2). You can plug this back into the equation like this:
[tex]2 = -\frac{2}{5}(-5) + b[/tex]
Now, just solve for b to find the y-intercept:
[tex]2 = \frac{10}{5} + b\\2 = 2 + b\\0 = b[/tex]
Because b equals 0 there is you can write the final equation like this:
[tex]y = -\frac{2}{5}x[/tex]
I hope this helps!!
- Kay :)
