The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.
The x-intercept is . The graph crosses the x-axis at
The y-intercept is . The graph crosses the y-axis at
Find the slope using slope formula is .
(Replace
and
with
, 0, 0 and
)
(Apply Additive identity property: a + 0 = a)
(Reciprocal of
)
(Multiply:
)
The slope of .
Next find the y-intercept value.
\ (Substitute
for m)
(Substitute
for x and y)
(Cancel common terms)
\
Apply subtraction property of equality: If a = b than a – c = b – c.
\ \ (Subtract
from each side)
\
Apply commutative property of addition: a + b = b + a.
\ (Apply Additive inverse property:
–
= 0)
\
(Apply Additive identity property: b + 0 = b)
Substitute for m and
for b in the Slope-intercept form equation.
The line equation in slope-intercept form is .