The line equation in slope-intercept form is y = mx + b, where m is the slope and b
\is the y-intercept.
\First find the slope
\m =
= (Substitute
)
= (LCM is 2)
= (Subtract:
)
= (Divide:
)
= (Divide:
)
Next find the y-intercept
\Substitute the slope and the coordinates of the given point in slope-intercept form
\line equation.
\y = mx + b
\ (Substitute
for m,
for x, and 1 for y)
(Multiply:
)
(Add
to each side)
(Commutative property: a + b = b + a)
(Additive inverse property:
)
(Add:
)
Finally write the equation of the line
\Substitute the values of slope ‘m’ and y-intercept ‘b’ in slope intercept form
\y = mx + b
\ (Substitute
for m and
)
The equation of the line that passes through the point
is .