
Given points are
.
First, find the slope.
\
Substitute
7 for y2,
1 for y1, 6 for x2, and 4 for x1 in slope formula.

(Product of two same signs is positive)
(Subtract:
)
(Add:
)
(Divide:
)
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
1 for y1, 4 for x1 and
)
(Product of two same signs is positive)
(Apply distributive property:
)
(Multiply:
)
Apply subtraction property of equality:If a = b then a
c = b
c.
(Subtract 1 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
The equation of line is
.