Hi there!
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
[tex] - 1 = \frac{2}{5} \times - 3 + n[/tex]
Multiply first.
[tex] - 1 = - 1\frac{1}{5} + n[/tex]
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]
