The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.
First find the slope (m).
\The slope formula is .
(Replace
with 2,
4,
3 and
1)
(Product of two same sign is positive) \ \
(Add:
)
(Subtract:
)
The slope of .
Next find the y-intercept (b).
\ (Substitute
for m)
(Substitute 2,
4 for x and y)
(Multiply:
)
Apply addition property of equality: If a = b than a + c = b + c.
\ (Add
to each side)
Apply commutative property of addition: .
(Apply Additive inverse property:
)
(Apply Additive inverse property:
)
(Add:
)
Substitute for m and
for b in the Slope-intercept form equation.
.
Option B is correct.