
Given points are
.
First, find the slope.
\
Substitute
4 for y2, 2 for y1, 3 for x2, and
1 for x1 in slope formula.

(Product of two same signs is positive)
(Add:
)
(Subtract:
)
(Simplify)
(Cancel common terms)
You know the slope and a point on the line, so use point - slope form 
with either given point to write an equation of line.
\Choose
.
(Substitute 2 for y1,
1 for x1 and
)
(Product of two same signs is positive)
(Apply distributive property:
)
(Multiply:
)
Apply addition property of equality: If a = b then a + c = b + c.
\
(Add to 2 each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
The equation of line is
.