First find the slope of the line
.
Rewrite the line in slope-intercept form y = mx + b, where m is slope and b is y-intercept.
\
(Subtract 2x from each side)
(Simplify)
(Divide aech side by 3) \ \
(Simplify)
Compare the equation with slope-intercept form and find the slope of the line.
\ =
.
The line is paralle to
. Parallel line has same slope.
So, slope of the new line =
.
Graph the line using given point and slope.
\1. Draw a coordinate plane.
\2. Plot the given point (2, -1).
\3. Find the next point using
. Start at (2, -1) and go down 2 units and 3 units right, then mark a dot and label it.
4. Draw a line through these points.
\\
_slope_minus%202by3.gif\")
Graph of the line passing through the point (2, -1) and slope
is
_slope_minus%202by3.gif\")