Observe the graph; the line is passing through (4, 3) and (7,
2). ,%20(7,%20-2).gif\")
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 4, 3, 7 and
2)
(Subtract:
)
(Subtract:
)
The slope of
.
Next find the y-intercept (b).
\
(Substitute
for m)
(Substitute 4, 3 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 identity property:
)
(Add:
)
Substitute
for m and
for b in the Slope-intercept form equation
The equation in slope-intercept form is
.