Given points are .
First find the slope.
\Substitute 7 for y2, 5 for y1, 4 for x2, and
2 for x1 in slope formula.
(Product of two same signs is positive)
(Add:
)
(Subtract:
)
(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 5 for y1,
2 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 5 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
The equation of line is .