Question

Slope = 2/5; passes through (-3,1)

Answer 1

Presumably we're after the line with that slope through that point.  In general the line through $(a,b)$ with slope $m$ is 

$y-b = m(x-a)$

Here we have $a=-3, b=1, m=\frac 2 5$

$y - 1 = \frac 2 5 (x--3)$

$y = \frac 2 5 x + \frac 6 5 + 1$

$y = \frac 2 5 x + \frac{11}{5}$

Check: The slope is clearly  $\frac 2 5$
 so we check

$y = \frac 2 5 (-3) +\frac{11}{5} = \frac 5 5 = 1 \quad\checkmark$