The general formula of A line in slope-intercept form is the following: [tex]y = mx + n[/tex]
In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5. [tex]y = \frac{2}{5} x + n[/tex]
We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line. x = -3 and y = -1
And finally add 1 1/5 to both sides of the equation. [tex] \frac{1}{5} = n[/tex]
We can now switch sides. [tex]n = \frac{1}{5} [/tex]
Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following: [tex]y = \frac{2}{5} x + \frac{1}{5} [/tex]
