Given points are
Next, find the slope.
\Substitute 1 for y2,
3 for y1, 2 for x2, and
2 for x1 in slope formula.
(Product of two same signs is positive)
(Add:
)
(Add:
)
(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
3 for y1,
2 for x1 and
)
(Product of two same signs is positive)
(Apply distributive property:
)
(Cancel common terms)
(Multiply:
)
(Subtract 3 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
The equation of line is .